Precalculus Examples

$\log_{2} (17 x (x - 7))$

Step 1

Apply the distributive property.

$\log_{2} (17 x \cdot x + 17 x \cdot - 7)$

Step 2

Multiply $x$ by $x$ by adding the exponents.

Tap for more steps...

Step 2.1

Move $x$ .

$\log_{2} (17 (x \cdot x) + 17 x \cdot - 7)$

Step 2.2

Multiply $x$ by $x$ .

$\log_{2} (17 x^{2} + 17 x \cdot - 7)$

Step 3

Multiply $- 7$ by $17$ .

$\log_{2} (17 x^{2} - 119 x)$

Step 4

Rewrite $\log_{2} (17 x^{2} - 119 x)$ using the change of base formula.

Tap for more steps...

Step 4.1

The change of base rule can be used if $a$ and $b$ are greater than $0$ and not equal to $1$ , and $x$ is greater than $0$ .

$\log_{a} (x) = \frac{\log_{b} (x)}{\log_{b} (a)}$

Step 4.2

Substitute in values for the variables in the change of base formula, using $b = 10$ .

$\frac{\log (17 x^{2} - 119 x)}{\log (2)}$