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

Guest Aug 17, 2020

edited by
Guest
Aug 17, 2020

edited by Guest Aug 17, 2020

edited by Guest Aug 17, 2020

#1**+1 **

4^{x} = 27 log both sides

x log 4 = log27

x = log 27 / log4 similarly 9^{y} = 16 yields y = log 16 /log 9

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

ElectricPavlov Aug 17, 2020