Question

question
condense the logarithm:
$8\log c - x\log a$

Explanation:

Step1: Apply power rule to each term

Power rule: $k\log m = \log m^k$
$8\log c = \log c^8$, $x\log a = \log a^x$
Expression becomes: $\log c^8 - \log a^x$

Step2: Apply quotient rule to condense

Quotient rule: $\log m - \log n = \log\frac{m}{n}$
Expression becomes: $\log\frac{c^8}{a^x}$

Answer:

$\log\frac{c^8}{a^x}$