Questions: Evaluate the following logarithmic equation: log6(6^4) = x x=

Evaluate the following logarithmic equation: log6(6^4) = x x=
Transcript text: Evaluate the following logarithmic equation: \[ \log _{6}\left(6^{4}\right)=x \] x=
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Solution

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Solution Steps

Step 1: Rewrite the logarithmic equation in exponential form

The logarithmic equation \(\log_6(6^4) = x\) can be rewritten in exponential form as \(6^x = 6^4\).

Step 2: Solve for x

Since the bases are the same, the exponents must be equal. Therefore, \(x = 4\).

Final Answer

\(\boxed{x=4}\)

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