Logs and Exponents

Question

Solve.

(log base 3 of x)^2 - log base 3 of x^2=15

Answer 1

(log₃x)² - log₃(x²) = 15

(log₃x)² - 2log₃x = 15

Let u = log₃x

u² - 2u = 15

u² - 2u - 15 = 0

(u - 5)(u + 3) = 0

Solve for u, and then

x = 3^u

Can you take it from here and finish?