Problem

Solve the logarithmic equation.
log4x=4
x=
(Simplify your answer. Type an exact answer, using e as needed.)

Answer

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Answer

The solution to the logarithmic equation log4x=4 is x=256.

Steps

Step 1 :The logarithmic equation is in the form logba=n, which can be rewritten in exponential form as bn=a. In this case, b is 4, n is 4, and a is x. So, we can rewrite the equation as 44=x.

Step 2 :b=4

Step 3 :n=4

Step 4 :x=256.0

Step 5 :The solution to the logarithmic equation log4x=4 is x=256.

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