Precalculus Examples

$(\log (a) q - \log (a) r) + 2 \log (a) p$

Step 1

Simplify $2 \log (a)$ by moving $2$ inside the logarithm.

$\log (a) q - \log (a) r + \log (a^{2}) p$

Step 2

Reorder factors in $\log (a) q - \log (a) r + \log (a^{2}) p$ .

$q \log (a) - r \log (a) + p \log (a^{2})$

Step 3

Move $- r \log (a)$ .

$q \log (a) + p \log (a^{2}) - r \log (a)$

Step 4

Reorder $q \log (a)$ and $p \log (a^{2})$ .

$p \log (a^{2}) + q \log (a) - r \log (a)$