Evaluate log base 3 of a* log of 3

$\log_{3} (a) \cdot \log (3)$

Step 1

Rewrite $\log_{3} (a)$ using the change of base formula.

The change of base rule can be used if $a$ and $b$ are greater than $0$ and not equal to $1$ , and $x$ is greater than $0$ .

$\log_{a} (x) = \frac{\log_{b} (x)}{\log_{b} (a)} \log (3)$

Substitute in values for the variables in the change of base formula, using $b = 10$ .

$\frac{\log (a)}{\log (3)} \log (3)$

Step 2

Cancel the common factor of $\log (3)$ .

Cancel the common factor.

$\frac{\log (a)}{\log (3)} \log (3)$

Rewrite the expression.

$\log (a)$