SOLUTION: log5(log5 x)=1

Question 238165: log5(log5 x)=1
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
When the variable you're solving for is in the argument of a logarithm, the most common way to solve the problem is to rewrite the logarithmic equation in exponential form. With this problem's log of a log we will have to do thsi twice.

Remember that is equivalent to . We will use this twice in succession on your equation:

which in exponential form is:

which simplifies to

Rewriting this in exponential form we get:

which simplifies to

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