Write as a Single Logarithm 4 log base 4 of x+5 log base 4 of 2

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

Step 1

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

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

Step 2

Logarithm base $4$ of $2$ is $\frac{1}{2}$ .

$\log_{4} (x^{4}) + 5 (\frac{1}{2})$

Step 3

Combine $5$ and $\frac{1}{2}$ .

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