SOLUTION: Solve for x: (5/4)^x=64/125. Thank you for your help.

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Question 598597: Solve for x: (5/4)^x=64/125. Thank you for your help.

Found 2 solutions by lwsshak3, filboi:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x: (5/4)^x=64/125. Thank you for your help.
(5/4)^x=64/125
(5/4)^x=(4^2)/(5^2(=(5^-2)/(4^-2)=(5/4)^-2
x=-2

Answer by filboi(35) About Me  (Show Source):
You can put this solution on YOUR website!
Same solution as above but x is actually equal to -3.
(5/4)^x=64/125
(5/4)^x=(4^3)/(5^3)=(5^-3)/(4^-3)=(5/4)^-3
x=-3