SOLUTION: write the following equation in its equivalent exponential form log5 125=x

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Question 85938: write the following equation in its equivalent exponential form
log5 125=x
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
By definition:
.
Raise the base to the exponent on the other side of the equal sign and set it equal to the
term in the logarithm. In this case the base is 5, the exponent (on the other side of the
equal sign) is x, and the term in the logarithm is 125. So in exponential form, the
equivalent expression is:
.
5%5Ex+=+125
.
From this you can see that x must equal 3 because when 5 is cubed, the answer is 125.
.
Hope this helps you to see how to get the exponential form of a logarithm.