Logarithms and exponents [closed]











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"Suppose that Ingrid has $63$ chocolates. In every step, she meets two friends and divides her pile three ways between herself and her two friends. She divides the chocolates as evenly as possible, but in the event that the chocolates can not be divided perfectly evenly into three piles, she takes the larger pile for herself. How many steps until she is down to one chocolate?"



My logic :



1) Between which powers of 3 is 63 located



2) Low: $3^3 = 27$



3) High: $3^4 = 81$



So for me, I would pick $27 (3$ steeps$)$ instead of $81 (4$ steeps$)$ because she only has $63$ chocolates. $27$ and the leftover $(63-27)$ is for Ingrid.



However, the answer is $4$, anyone willing to explain me? thank you!










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closed as unclear what you're asking by amWhy, Leucippus, Rebellos, Shailesh, Batominovski Nov 24 at 11:48


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.



















    up vote
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    "Suppose that Ingrid has $63$ chocolates. In every step, she meets two friends and divides her pile three ways between herself and her two friends. She divides the chocolates as evenly as possible, but in the event that the chocolates can not be divided perfectly evenly into three piles, she takes the larger pile for herself. How many steps until she is down to one chocolate?"



    My logic :



    1) Between which powers of 3 is 63 located



    2) Low: $3^3 = 27$



    3) High: $3^4 = 81$



    So for me, I would pick $27 (3$ steeps$)$ instead of $81 (4$ steeps$)$ because she only has $63$ chocolates. $27$ and the leftover $(63-27)$ is for Ingrid.



    However, the answer is $4$, anyone willing to explain me? thank you!










    share|cite|improve this question















    closed as unclear what you're asking by amWhy, Leucippus, Rebellos, Shailesh, Batominovski Nov 24 at 11:48


    Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

















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      up vote
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      "Suppose that Ingrid has $63$ chocolates. In every step, she meets two friends and divides her pile three ways between herself and her two friends. She divides the chocolates as evenly as possible, but in the event that the chocolates can not be divided perfectly evenly into three piles, she takes the larger pile for herself. How many steps until she is down to one chocolate?"



      My logic :



      1) Between which powers of 3 is 63 located



      2) Low: $3^3 = 27$



      3) High: $3^4 = 81$



      So for me, I would pick $27 (3$ steeps$)$ instead of $81 (4$ steeps$)$ because she only has $63$ chocolates. $27$ and the leftover $(63-27)$ is for Ingrid.



      However, the answer is $4$, anyone willing to explain me? thank you!










      share|cite|improve this question















      "Suppose that Ingrid has $63$ chocolates. In every step, she meets two friends and divides her pile three ways between herself and her two friends. She divides the chocolates as evenly as possible, but in the event that the chocolates can not be divided perfectly evenly into three piles, she takes the larger pile for herself. How many steps until she is down to one chocolate?"



      My logic :



      1) Between which powers of 3 is 63 located



      2) Low: $3^3 = 27$



      3) High: $3^4 = 81$



      So for me, I would pick $27 (3$ steeps$)$ instead of $81 (4$ steeps$)$ because she only has $63$ chocolates. $27$ and the leftover $(63-27)$ is for Ingrid.



      However, the answer is $4$, anyone willing to explain me? thank you!







      algebra-precalculus discrete-mathematics






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      edited Nov 24 at 23:59









      Key Flex

      7,44941232




      7,44941232










      asked Nov 23 at 20:55









      Laura1999

      202




      202




      closed as unclear what you're asking by amWhy, Leucippus, Rebellos, Shailesh, Batominovski Nov 24 at 11:48


      Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.






      closed as unclear what you're asking by amWhy, Leucippus, Rebellos, Shailesh, Batominovski Nov 24 at 11:48


      Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
























          2 Answers
          2






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          1
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          $$63 to 21 to 7 to 3 to 1.$$






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          • Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
            – Laura1999
            Nov 23 at 21:10










          • @Laura1999: it is precisely what Ingrid does.
            – Yves Daoust
            Nov 23 at 21:34










          • @YvesDaoust But what about to reopen that OP, we only need 2 more votes.
            – gimusi
            Nov 24 at 15:09










          • @gimusi: I agree, I don't find the question unclear.
            – Yves Daoust
            Nov 24 at 15:19










          • @YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
            – gimusi
            Nov 24 at 15:21


















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          0
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          After three steps, she hasn't gotten down to one chocolate (she's got 21 after the first, 7 after the second, and 3 after the third), so it takes a fourth for her to get there.






          share|cite|improve this answer





















          • Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
            – Laura1999
            Nov 23 at 21:12






          • 1




            Divide by 3, round up.
            – user3482749
            Nov 23 at 21:15


















          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          up vote
          1
          down vote













          $$63 to 21 to 7 to 3 to 1.$$






          share|cite|improve this answer





















          • Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
            – Laura1999
            Nov 23 at 21:10










          • @Laura1999: it is precisely what Ingrid does.
            – Yves Daoust
            Nov 23 at 21:34










          • @YvesDaoust But what about to reopen that OP, we only need 2 more votes.
            – gimusi
            Nov 24 at 15:09










          • @gimusi: I agree, I don't find the question unclear.
            – Yves Daoust
            Nov 24 at 15:19










          • @YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
            – gimusi
            Nov 24 at 15:21















          up vote
          1
          down vote













          $$63 to 21 to 7 to 3 to 1.$$






          share|cite|improve this answer





















          • Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
            – Laura1999
            Nov 23 at 21:10










          • @Laura1999: it is precisely what Ingrid does.
            – Yves Daoust
            Nov 23 at 21:34










          • @YvesDaoust But what about to reopen that OP, we only need 2 more votes.
            – gimusi
            Nov 24 at 15:09










          • @gimusi: I agree, I don't find the question unclear.
            – Yves Daoust
            Nov 24 at 15:19










          • @YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
            – gimusi
            Nov 24 at 15:21













          up vote
          1
          down vote










          up vote
          1
          down vote









          $$63 to 21 to 7 to 3 to 1.$$






          share|cite|improve this answer












          $$63 to 21 to 7 to 3 to 1.$$







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Nov 23 at 21:07









          Yves Daoust

          123k668219




          123k668219












          • Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
            – Laura1999
            Nov 23 at 21:10










          • @Laura1999: it is precisely what Ingrid does.
            – Yves Daoust
            Nov 23 at 21:34










          • @YvesDaoust But what about to reopen that OP, we only need 2 more votes.
            – gimusi
            Nov 24 at 15:09










          • @gimusi: I agree, I don't find the question unclear.
            – Yves Daoust
            Nov 24 at 15:19










          • @YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
            – gimusi
            Nov 24 at 15:21


















          • Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
            – Laura1999
            Nov 23 at 21:10










          • @Laura1999: it is precisely what Ingrid does.
            – Yves Daoust
            Nov 23 at 21:34










          • @YvesDaoust But what about to reopen that OP, we only need 2 more votes.
            – gimusi
            Nov 24 at 15:09










          • @gimusi: I agree, I don't find the question unclear.
            – Yves Daoust
            Nov 24 at 15:19










          • @YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
            – gimusi
            Nov 24 at 15:21
















          Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
          – Laura1999
          Nov 23 at 21:10




          Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
          – Laura1999
          Nov 23 at 21:10












          @Laura1999: it is precisely what Ingrid does.
          – Yves Daoust
          Nov 23 at 21:34




          @Laura1999: it is precisely what Ingrid does.
          – Yves Daoust
          Nov 23 at 21:34












          @YvesDaoust But what about to reopen that OP, we only need 2 more votes.
          – gimusi
          Nov 24 at 15:09




          @YvesDaoust But what about to reopen that OP, we only need 2 more votes.
          – gimusi
          Nov 24 at 15:09












          @gimusi: I agree, I don't find the question unclear.
          – Yves Daoust
          Nov 24 at 15:19




          @gimusi: I agree, I don't find the question unclear.
          – Yves Daoust
          Nov 24 at 15:19












          @YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
          – gimusi
          Nov 24 at 15:21




          @YvesDaoust I think that the closure as a duplicate was corect and fine but the delation is not for an answer with many upvotes and more than 8000 vizualitazions. Let try to undelete that, I've already voted.
          – gimusi
          Nov 24 at 15:21










          up vote
          0
          down vote













          After three steps, she hasn't gotten down to one chocolate (she's got 21 after the first, 7 after the second, and 3 after the third), so it takes a fourth for her to get there.






          share|cite|improve this answer





















          • Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
            – Laura1999
            Nov 23 at 21:12






          • 1




            Divide by 3, round up.
            – user3482749
            Nov 23 at 21:15















          up vote
          0
          down vote













          After three steps, she hasn't gotten down to one chocolate (she's got 21 after the first, 7 after the second, and 3 after the third), so it takes a fourth for her to get there.






          share|cite|improve this answer





















          • Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
            – Laura1999
            Nov 23 at 21:12






          • 1




            Divide by 3, round up.
            – user3482749
            Nov 23 at 21:15













          up vote
          0
          down vote










          up vote
          0
          down vote









          After three steps, she hasn't gotten down to one chocolate (she's got 21 after the first, 7 after the second, and 3 after the third), so it takes a fourth for her to get there.






          share|cite|improve this answer












          After three steps, she hasn't gotten down to one chocolate (she's got 21 after the first, 7 after the second, and 3 after the third), so it takes a fourth for her to get there.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Nov 23 at 20:56









          user3482749

          2,166414




          2,166414












          • Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
            – Laura1999
            Nov 23 at 21:12






          • 1




            Divide by 3, round up.
            – user3482749
            Nov 23 at 21:15


















          • Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
            – Laura1999
            Nov 23 at 21:12






          • 1




            Divide by 3, round up.
            – user3482749
            Nov 23 at 21:15
















          Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
          – Laura1999
          Nov 23 at 21:12




          Thank you! What is the pattern between each numbers? 63/3 = 21 ; 21/3 = 7 but after I am confused. Thanks!
          – Laura1999
          Nov 23 at 21:12




          1




          1




          Divide by 3, round up.
          – user3482749
          Nov 23 at 21:15




          Divide by 3, round up.
          – user3482749
          Nov 23 at 21:15



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