Algebra Examples

$2 \log_{4} (6) - \log_{4} (9)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Simplify $2 \log_{4} (6)$ by moving $2$ inside the logarithm.

$\log_{4} (6^{2}) - \log_{4} (9)$

Step 1.2

Raise $6$ to the power of $2$ .

$\log_{4} (36) - \log_{4} (9)$

Step 2

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log_{4} (\frac{36}{9})$

Step 3

Logarithm base $4$ of $\frac{36}{9}$ is $1$ .

$1$