Precalculus Examples

$\log_{7} (h^{2} j^{11} k^{- 5})$

Step 1

Rewrite $\log_{7} (h^{2} j^{11} k^{- 5})$ as $\log_{7} (h^{2} j^{11}) + \log_{7} (k^{- 5})$ .

$\log_{7} (h^{2} j^{11}) + \log_{7} (k^{- 5})$

Step 2

Rewrite $\log_{7} (h^{2} j^{11})$ as $\log_{7} (h^{2}) + \log_{7} (j^{11})$ .

$\log_{7} (h^{2}) + \log_{7} (j^{11}) + \log_{7} (k^{- 5})$

Step 3

Expand $\log_{7} (h^{2})$ by moving $2$ outside the logarithm.

$2 \log_{7} (h) + \log_{7} (j^{11}) + \log_{7} (k^{- 5})$

Step 4

Expand $\log_{7} (j^{11})$ by moving $11$ outside the logarithm.

$2 \log_{7} (h) + 11 \log_{7} (j) + \log_{7} (k^{- 5})$

Step 5

Expand $\log_{7} (k^{- 5})$ by moving $- 5$ outside the logarithm.

$2 \log_{7} (h) + 11 \log_{7} (j) - 5 \log_{7} (k)$