Question

5=logbase3(x^2+18) convert to exponential equation,simplify and solve to find two solutions

Answer 1

put both sides as exoponents to the base 5
3^(5) = 3^logbase3(x^2+18)
=
3^(5) = x^(2) + 18

Answer 2

*put both sides as exoponents to the base 3

Answer 3

got it?

Answer 4

Now you can just solve for x as the log_3 is elimenated

Answer 5

\[log_b(x)=y\iff b^y=x\] you should be able to switch back and forth easily.
in this case you get
\[3^5=x^2+18\]