SOLUTION: solve for x (1/5)^(x-1)=25

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Question 675532: solve for x (1/5)^(x-1)=25
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
(1/5)^(x-1)=25

(5^(-1))^(x-1)=5^2

5^(-(x-1))=5^2

Since the bases are equal to 5, the exponents must be equal.

-(x-1) = 2

-x+1 = 2

-x = 2-1

-x = 1

x = -1

So the solution is x = -1