Algebra Examples

$- 5 \log_{2} (x + 1) + 3 \log_{2} (6 x)$

Step 1

Simplify $- 5 \log_{2} (x + 1)$ by moving $5$ inside the logarithm.

$- \log_{2} ({(x + 1)}^{5}) + 3 \log_{2} (6 x)$

Step 2

Simplify $3 \log_{2} (6 x)$ by moving $3$ inside the logarithm.

$- \log_{2} ({(x + 1)}^{5}) + \log_{2} ({(6 x)}^{3})$

Step 3

Apply the product rule to $6 x$ .

$- \log_{2} ({(x + 1)}^{5}) + \log_{2} (6^{3} x^{3})$

Step 4

Raise $6$ to the power of $3$ .

$- \log_{2} ({(x + 1)}^{5}) + \log_{2} (216 x^{3})$