Precalculus Examples

$4 \log_{5} (2 x)$

Step 1

Simplify $4 \log_{5} (2 x)$ by moving $4$ inside the logarithm.

$\log_{5} ({(2 x)}^{4})$

Step 2

Apply the product rule to $2 x$ .

$\log_{5} (2^{4} x^{4})$

Step 3

Raise $2$ to the power of $4$ .

$\log_{5} (16 x^{4})$