Precalculus Examples

$\log_{2.5} (88)$

Step 1

Rewrite $\log_{2.5} (88)$ as $\log_{2.5} (2^{3} \cdot 11)$ .

$\log_{2.5} (2^{3} \cdot 11)$

Step 2

Rewrite $\log_{2.5} (2^{3} \cdot 11)$ as $\log_{2.5} (2^{3}) + \log_{2.5} (11)$ .

$\log_{2.5} (2^{3}) + \log_{2.5} (11)$

Step 3

Expand $\log_{2.5} (2^{3})$ by moving $3$ outside the logarithm.

$3 \log_{2.5} (2) + \log_{2.5} (11)$