Finite Math Examples

$w = \log_{6} ({(6)}^{25})$

Step 1

Remove parentheses.

$w = \log_{6} (6^{25})$

Step 2

Simplify $\log_{6} (6^{25})$ .

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Step 2.1

Use logarithm rules to move $25$ out of the exponent.

$w = 25 \log_{6} (6)$

Step 2.2

Logarithm base $6$ of $6$ is $1$ .

$w = 25 \cdot 1$

Step 2.3

Multiply $25$ by $1$ .

$w = 25$