Question

select the correct answer.
which exponential equation is equivalent to this logarithmic equation?
\log_{x} 5 + \log_{x} 12 = 7
a. \\ 7^x = 17
b. \\ x^7 = 17
c. \\ x^7 = 60
d. \\ 7^x = 60

Explanation:

Step1: Combine log terms (product rule)

$\log_x(5 \times 12) = 7$
$\log_x 60 = 7$

Step2: Convert to exponential form

Recall $\log_b a = c \iff b^c = a$, so:
$x^7 = 60$

Answer:

C. $x^7 = 60$