Question

Select the correct answer.
What is the approximate solution to this equation?
15(3)2+ = 90
=
2log
a = log3
O
210g3
t = log 6
O
log 6
210g3
=
log3
2log 6

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