Precalculus Examples

$\log_{2} ((2 x^{3}) (x + 1))$

Step 1

Rewrite $\log_{2} ((2 x^{3}) (x + 1))$ as $\log_{2} (2 x^{3}) + \log_{2} (x + 1)$ .

$\log_{2} (2 x^{3}) + \log_{2} (x + 1)$

Step 2

Rewrite $\log_{2} (2 x^{3})$ as $\log_{2} (2) + \log_{2} (x^{3})$ .

$\log_{2} (2) + \log_{2} (x^{3}) + \log_{2} (x + 1)$

Step 3

Expand $\log_{2} (x^{3})$ by moving $3$ outside the logarithm.

$\log_{2} (2) + 3 \log_{2} (x) + \log_{2} (x + 1)$

Step 4

Logarithm base $2$ of $2$ is $1$ .

$1 + 3 \log_{2} (x) + \log_{2} (x + 1)$