precal question

Question

Solve the logarithmic equation for x, as in Example 7. (Enter your answers as a comma-separated list.)

2 log(x) = log(2) + log(3x − 4)

Answer 1

2logx - log(3x - 4) = log2

log(x²) - log(3x - 4) = log2

log(x² / (3x - 4)) = log2

x² / (3x - 4) = 2

x² = 2(3x - 4)

x² - 6x + 8 = 0

(x - 4)(x - 2) = 0

x = 4 or x = 2