SOLUTION: x=log25^5 (log with the base of 25 to the fifth power) how do i solve for x without using a calculator??

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Question 182492: x=log25^5 (log with the base of 25 to the fifth power)
how do i solve for x without using a calculator??
Answer by tvandenberg(45) About Me  (Show Source):
You can put this solution on YOUR website!
If by this you mean x = log(base25) of 5, not to the 5, then it is pretty simple, only because of the numbers in the question.
To solve this, or any log problem, you want to take B^(both sides), where B = base (in this case 25). So, you have...
25%5Ex=25%5E%28log25%285%29%29
25%5Ex=5
Since we know that 5%5E2=25, then x would be equivalent of the square root, or 1/2.
x = 1/2