solve for x Exponential & Log Functions

Question

Solve for x, 3 ^4√𝑥 -4 × 3^2√𝑥 = − 3

Answer 1

3 ^4√𝑥 - 4·3^2√𝑥 = − 3; u = 3^2√x√ > 0

u² - 4u + 3) = 0; (u - 1)(u - 3) = 0, u = 1 or u = 3; 3^2√x = 1 = 3⁰; 2√x = 0, x = 0.

3^2√x = 3¹; 2√x = 1; √x = 1/2, x = 1/4.