Question

Find x if (3^2x)^4 ÷(3^3x)^2 = 3^4x-1​

Answer 1

Answer:

$\frac{ {3}^{2x \times 4} }{ {3}^{3x \times 2} } = {3}^{4x - 1} \\ {3}^{8x - 6x} = {3}^{4x - 1} \\ {3}^{2x} = {3}^{4x - 1} \\ 2x = 4x - 1 \\ 2x - 4x = - 1 \\ - 2x = - 1 \\ x = \frac{1}{2}$