Question

Select the correct answer.

Answer 1

Answer:

C) $x=\frac{\log(6)}{2\log(3)}$

Step-by-step explanation:

$15(3)^{2x}=90\\\\3^{2x}=6\\\\2x=\log_3(6)\\\\2x=\frac{\log(6)}{\log(3)}\\\\x=\frac{\log(6)}{2\log(3)}$

Remember to use the change of base formula, which states that $\log_a(b)=\frac{\log(b)}{\log(a)}$ so that everything has the same base of 10