Answer:
x ≈ 1.9087
Step-by-step explanation:
We don't know what methods you learned in class, but here's one way to solve the equation.
Make x the exponent of a constant:
5^(x+2) = 3^(3x)
(5^x)(5^2) = (3^3)^x
25(5^x) = 27^x
Put the powers all on one side of the equation and everything else on the other side.
25 = (27^x)/(5^x) = (27/5)^x = 5.4^x
Take logarithms.
log(25) = x·log(5.4)
x = log(25)/log(5.4)
x ≈ 1.9087
