SOLUTION: (5/4)^x=16/25

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Question 543513: (5/4)^x=16/25
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
(5/4)^x=16/25
(5/4)^x=(4/5)^2=1/(4^-2/5^-2)=5^-2/4^-2=(5/4)^-2
x=-2
..
using logs with calculator:
take log of both sides
xlog(5/4)=log(16/25)
x=log(16/25)/log(5/4)
x=-2