Given: Log2=a, Log7=b. Find: Log 56.












0














I don't know how to solve this. Can someone help me? How do I use the information above to help me find Log 56?










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  • What is the prime factorization of 56?
    – Don Thousand
    Nov 27 '18 at 1:21










  • Simpler exercises: find out $log(2^3)$ and $log(8times 7)$.
    – user587192
    Nov 27 '18 at 1:21










  • its 2, and 7 right?
    – THE CONFUSED PERSON
    Nov 27 '18 at 1:22










  • I need to solve it in terms of a and b
    – THE CONFUSED PERSON
    Nov 27 '18 at 1:23
















0














I don't know how to solve this. Can someone help me? How do I use the information above to help me find Log 56?










share|cite|improve this question






















  • What is the prime factorization of 56?
    – Don Thousand
    Nov 27 '18 at 1:21










  • Simpler exercises: find out $log(2^3)$ and $log(8times 7)$.
    – user587192
    Nov 27 '18 at 1:21










  • its 2, and 7 right?
    – THE CONFUSED PERSON
    Nov 27 '18 at 1:22










  • I need to solve it in terms of a and b
    – THE CONFUSED PERSON
    Nov 27 '18 at 1:23














0












0








0







I don't know how to solve this. Can someone help me? How do I use the information above to help me find Log 56?










share|cite|improve this question













I don't know how to solve this. Can someone help me? How do I use the information above to help me find Log 56?







logarithms






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asked Nov 27 '18 at 1:18









THE CONFUSED PERSON

183




183












  • What is the prime factorization of 56?
    – Don Thousand
    Nov 27 '18 at 1:21










  • Simpler exercises: find out $log(2^3)$ and $log(8times 7)$.
    – user587192
    Nov 27 '18 at 1:21










  • its 2, and 7 right?
    – THE CONFUSED PERSON
    Nov 27 '18 at 1:22










  • I need to solve it in terms of a and b
    – THE CONFUSED PERSON
    Nov 27 '18 at 1:23


















  • What is the prime factorization of 56?
    – Don Thousand
    Nov 27 '18 at 1:21










  • Simpler exercises: find out $log(2^3)$ and $log(8times 7)$.
    – user587192
    Nov 27 '18 at 1:21










  • its 2, and 7 right?
    – THE CONFUSED PERSON
    Nov 27 '18 at 1:22










  • I need to solve it in terms of a and b
    – THE CONFUSED PERSON
    Nov 27 '18 at 1:23
















What is the prime factorization of 56?
– Don Thousand
Nov 27 '18 at 1:21




What is the prime factorization of 56?
– Don Thousand
Nov 27 '18 at 1:21












Simpler exercises: find out $log(2^3)$ and $log(8times 7)$.
– user587192
Nov 27 '18 at 1:21




Simpler exercises: find out $log(2^3)$ and $log(8times 7)$.
– user587192
Nov 27 '18 at 1:21












its 2, and 7 right?
– THE CONFUSED PERSON
Nov 27 '18 at 1:22




its 2, and 7 right?
– THE CONFUSED PERSON
Nov 27 '18 at 1:22












I need to solve it in terms of a and b
– THE CONFUSED PERSON
Nov 27 '18 at 1:23




I need to solve it in terms of a and b
– THE CONFUSED PERSON
Nov 27 '18 at 1:23










2 Answers
2






active

oldest

votes


















3














$log(56) = log(7cdot8) = log(7) + log(8) = log(7) + logleft(2^{3}right) = log(7) + 3log(2) = b + 3a$






share|cite|improve this answer























  • I got the answer correct. I think you made a mistake, because the computer said the answer is 3a+b. Thanks for the help though ZAF.
    – THE CONFUSED PERSON
    Nov 27 '18 at 1:27










  • Might I suggest "cdot" ($cdot$) instead of a period to indicate multiplication.
    – Doug M
    Nov 27 '18 at 1:28












  • Corrected, thanks!
    – ZAF
    Nov 27 '18 at 1:30



















2














Hint 1: $56= 7cdot 2^3$



Hint 2: $log (xcdot y^z)= log x+ zlog y$






share|cite|improve this answer





















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    2 Answers
    2






    active

    oldest

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    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

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    active

    oldest

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    3














    $log(56) = log(7cdot8) = log(7) + log(8) = log(7) + logleft(2^{3}right) = log(7) + 3log(2) = b + 3a$






    share|cite|improve this answer























    • I got the answer correct. I think you made a mistake, because the computer said the answer is 3a+b. Thanks for the help though ZAF.
      – THE CONFUSED PERSON
      Nov 27 '18 at 1:27










    • Might I suggest "cdot" ($cdot$) instead of a period to indicate multiplication.
      – Doug M
      Nov 27 '18 at 1:28












    • Corrected, thanks!
      – ZAF
      Nov 27 '18 at 1:30
















    3














    $log(56) = log(7cdot8) = log(7) + log(8) = log(7) + logleft(2^{3}right) = log(7) + 3log(2) = b + 3a$






    share|cite|improve this answer























    • I got the answer correct. I think you made a mistake, because the computer said the answer is 3a+b. Thanks for the help though ZAF.
      – THE CONFUSED PERSON
      Nov 27 '18 at 1:27










    • Might I suggest "cdot" ($cdot$) instead of a period to indicate multiplication.
      – Doug M
      Nov 27 '18 at 1:28












    • Corrected, thanks!
      – ZAF
      Nov 27 '18 at 1:30














    3












    3








    3






    $log(56) = log(7cdot8) = log(7) + log(8) = log(7) + logleft(2^{3}right) = log(7) + 3log(2) = b + 3a$






    share|cite|improve this answer














    $log(56) = log(7cdot8) = log(7) + log(8) = log(7) + logleft(2^{3}right) = log(7) + 3log(2) = b + 3a$







    share|cite|improve this answer














    share|cite|improve this answer



    share|cite|improve this answer








    edited Nov 27 '18 at 3:46









    Andrew Li

    4,1431927




    4,1431927










    answered Nov 27 '18 at 1:25









    ZAF

    4307




    4307












    • I got the answer correct. I think you made a mistake, because the computer said the answer is 3a+b. Thanks for the help though ZAF.
      – THE CONFUSED PERSON
      Nov 27 '18 at 1:27










    • Might I suggest "cdot" ($cdot$) instead of a period to indicate multiplication.
      – Doug M
      Nov 27 '18 at 1:28












    • Corrected, thanks!
      – ZAF
      Nov 27 '18 at 1:30


















    • I got the answer correct. I think you made a mistake, because the computer said the answer is 3a+b. Thanks for the help though ZAF.
      – THE CONFUSED PERSON
      Nov 27 '18 at 1:27










    • Might I suggest "cdot" ($cdot$) instead of a period to indicate multiplication.
      – Doug M
      Nov 27 '18 at 1:28












    • Corrected, thanks!
      – ZAF
      Nov 27 '18 at 1:30
















    I got the answer correct. I think you made a mistake, because the computer said the answer is 3a+b. Thanks for the help though ZAF.
    – THE CONFUSED PERSON
    Nov 27 '18 at 1:27




    I got the answer correct. I think you made a mistake, because the computer said the answer is 3a+b. Thanks for the help though ZAF.
    – THE CONFUSED PERSON
    Nov 27 '18 at 1:27












    Might I suggest "cdot" ($cdot$) instead of a period to indicate multiplication.
    – Doug M
    Nov 27 '18 at 1:28






    Might I suggest "cdot" ($cdot$) instead of a period to indicate multiplication.
    – Doug M
    Nov 27 '18 at 1:28














    Corrected, thanks!
    – ZAF
    Nov 27 '18 at 1:30




    Corrected, thanks!
    – ZAF
    Nov 27 '18 at 1:30











    2














    Hint 1: $56= 7cdot 2^3$



    Hint 2: $log (xcdot y^z)= log x+ zlog y$






    share|cite|improve this answer


























      2














      Hint 1: $56= 7cdot 2^3$



      Hint 2: $log (xcdot y^z)= log x+ zlog y$






      share|cite|improve this answer
























        2












        2








        2






        Hint 1: $56= 7cdot 2^3$



        Hint 2: $log (xcdot y^z)= log x+ zlog y$






        share|cite|improve this answer












        Hint 1: $56= 7cdot 2^3$



        Hint 2: $log (xcdot y^z)= log x+ zlog y$







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Nov 27 '18 at 1:27









        MPW

        29.8k12056




        29.8k12056






























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