Precalculus Examples

$\log (4^{3 - x})$

Step 1

Expand $\log (4^{3 - x})$ by moving $3 - x$ outside the logarithm.

$(3 - x) \log (4)$

Step 2

Rewrite $\log (4)$ as $\log (2^{2})$ .

$(3 - x) \log (2^{2})$

Step 3

Expand $\log (2^{2})$ by moving $2$ outside the logarithm.

$(3 - x) (2 \log (2))$

Step 4

Apply the distributive property.

$3 (2 \log (2)) - x (2 \log (2))$

Step 5

Multiply $2$ by $3$ .

$6 \log (2) - x (2 \log (2))$

Step 6

Multiply $2$ by $- 1$ .

$6 \log (2) - 2 x \log (2)$