SOLUTION: 5(5)^(-0.08x)=4 please solve for x

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Question 166757: 5(5)^(-0.08x)=4

please solve for x
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
5(5)^(-0.08x)=4
If so, start by dividing both sides by 5:
(5)^(-0.08x)=4/5
(5)^(-0.08x)=.8
Take the LOG5 of both sides:
-0.08x = LOG5(.8)
-0.08x = LOG(.8)/LOG(5)
-0.08x = -.0969/.6990
-0.08x = -.1386
x = 1.733