Question

question
condense the logarithm
$7\log b + z\log c$
answer attempt 1 out of 12
$\log\left(\square\
ight)$ submit

Explanation:

Step1: Apply power rule of logarithms

The power rule of logarithms states that $n\log_a M = \log_a M^n$. So, for $7\log b$, we can rewrite it as $\log b^7$, and for $z\log c$, we can rewrite it as $\log c^z$.

Step2: Apply product rule of logarithms

The product rule of logarithms states that $\log_a M + \log_a N = \log_a (M\times N)$. Now we have $\log b^7 + \log c^z$, so we can combine them using the product rule to get $\log (b^7\times c^z)$ or $\log (b^7c^z)$.

Answer:

$b^7c^z$