Algebra Examples

$3 \log_{2} (x) - (\log_{2} (3) - \log_{2} (x + 4))$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Simplify $3 \log_{2} (x)$ by moving $3$ inside the logarithm.

$\log_{2} (x^{3}) - (\log_{2} (3) - \log_{2} (x + 4))$

Step 1.2

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

$\log_{2} (x^{3}) - \log_{2} (\frac{3}{x + 4})$

Step 2

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

$\log_{2} (\frac{x^{3}}{\frac{3}{x + 4}})$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\log_{2} (x^{3} \frac{x + 4}{3})$

Step 4

Combine $x^{3}$ and $\frac{x + 4}{3}$ .

$\log_{2} (\frac{x^{3} (x + 4)}{3})$