27^x = √3 x 9^(x+2)
Solve for x: 27^x = 3^(2 x + 9/2)
Take the natural logarithm of both sides and use the identity log(a^b) = b log(a): 3 log(3) x = log(3) (2 x + 9/2)
Divide both sides by log(3): 3 x = 2 x + 9/2
Subtract 2 x from both sides: x = 9/2
