Precalculus Examples

$\log ({(j k^{2})}^{7})$

Step 1

Expand $\log ({(j k^{2})}^{7})$ by moving $7$ outside the logarithm.

$7 \log (j k^{2})$

Step 2

Rewrite $\log (j k^{2})$ as $\log (j) + \log (k^{2})$ .

$7 (\log (j) + \log (k^{2}))$

Step 3

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

$7 (\log (j) + 2 \log (k))$

Step 4

Apply the distributive property.

$7 \log (j) + 7 (2 \log (k))$

Step 5

Multiply $2$ by $7$ .

$7 \log (j) + 14 \log (k)$