Question

solve: \log_{6}(x - 5) = 4\
you may complete the work on your student work document. enter your final answer in the space below.

Explanation:

Step1: Convert log to exponential form

Recall $\log_b(a)=c \implies b^c=a$. Here, $b=2$, $c=4$, $a=x-5$:
$$2^4 = x - 5$$

Step2: Calculate $2^4$

Compute the exponential value:
$$16 = x - 5$$

Step3: Solve for $x$

Add 5 to both sides:
$$x = 16 + 5$$
$$x = 21$$

Answer:

$x=21$