Question

Solve and Check. 3^2x-1 = 3^x+2

Answer 1

\(3^{2x-1}=3^{x+2}\)
take log base 3 of both sides
\(\log_3(3^{2x-1})=\log_3(3^{x+2})\implies2x-1=x+2\)
solve for x

Answer 2

Oh, ok same bases now solve the exponents. I got this far. I'm a little confused about having x on both sides...do I bring x to one side?

Answer 3

yes
\(2x-1=x+2\\2x-1-x=2\\x-1=2\\x=3\)

Answer 4

Ok, thank you so much! I got it now!