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If x and y are real numbers such that 4^x=27 and 9^y=16, what is the value of xy?

 Aug 17, 2020
edited by Guest  Aug 17, 2020
edited by Guest  Aug 17, 2020
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4x = 27   log both sides

x log 4 = log27

x = log 27 / log4                          similarly  9y = 16   yields    y = log 16 /log 9

 

xy becomes     (log 27 log16) / (log4 log9)   = 3

 Aug 17, 2020

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