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

C)
`x=(\log(6))/(2\log(3))`

Explanation:

`15(3)^(2x)=90\\\\3^(2x)=6\\\\2x=\log_3(6)\\\\2x=(\log(6))/(\log(3))\\\\x=(\log(6))/(2\log(3))`

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