SOLUTION: can anyone solve these and explain how please??? log(1/5)x=-2 log(x)125=-3

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: can anyone solve these and explain how please??? log(1/5)x=-2 log(x)125=-3       Log On


   

Question 739553: can anyone solve these and explain how please???
log(1/5)x=-2
log(x)125=-3

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log(1/5)x=-2
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The log is the exponent.
--> %281%2F5%29%5E%28-2%29+=+x
x = 25
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log(x)125=-3
Remember The log is the exponent.
--> x%5E%28-3%29+=+125
1%2Fx%5E3+=+125
%281%2Fx%29%5E3+=+125
If you recognize that 5^3 = 125, then
1/x = 5
x = 1/5
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