Simplify log base 4 of 4^(3x)

$\log_{4} (4^{3 x})$

Step 1

Use logarithm rules to move $3 x$ out of the exponent.

$3 x \log_{4} (4)$

Step 2

Logarithm base $4$ of $4$ is $1$ .

$3 x \cdot 1$

Step 3

Multiply $3$ by $1$ .

$3 x$

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