Precalculus Examples

$(\log (a) m - \log (a) n) + 4 \log (a) k$

Step 1

Simplify $4 \log (a)$ by moving $4$ inside the logarithm.

$\log (a) m - \log (a) n + \log (a^{4}) k$

Step 2

Reorder factors in $\log (a) m - \log (a) n + \log (a^{4}) k$ .

$m \log (a) - n \log (a) + k \log (a^{4})$

Step 3

Move $- n \log (a)$ .

$m \log (a) + k \log (a^{4}) - n \log (a)$

Step 4

Reorder $m \log (a)$ and $k \log (a^{4})$ .

$k \log (a^{4}) + m \log (a) - n \log (a)$