Precalculus Examples

$\log_{4} (2) + \log_{4} (32)$

Step 1

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

$\frac{1}{2} + \log_{4} (32)$

Step 2

Logarithm base $4$ of $32$ is $\frac{5}{2}$ .

$\frac{1}{2} + \frac{5}{2}$

Step 3

Combine the numerators over the common denominator.

$\frac{1 + 5}{2}$

Step 4

Add $1$ and $5$ .

$\frac{6}{2}$

Step 5

Divide $6$ by $2$ .

$3$