Question

which expression is equivalent to $log3(x + 4)$?$log3 - log(x + 4)$$log12 + log x$$log3 + log(x + 4)$$log3 - log(x + 4)$

Explanation:

Step1: Recall logarithm product rule

The product rule for logarithms states $\log_b(ac) = \log_b a + \log_b c$, where $b$ is the base (here, base 10 is implied for $\log$).

Step2: Apply rule to given expression

For $\log[3(x+4)]$, set $a=3$, $c=x+4$.
$\log[3(x+4)] = \log3 + \log(x+4)$

Step3: Match with options

Compare the derived expression to the provided choices.

Answer:

log3 + log(x + 4)