Question

Solving exponential equation 8^3x+4 = 4^2x-1

Answer 1

x = -14/5

Explanation:

Given: 8^(3x+4) = 4^(2x-1)

Rewrite with same base: (2^3)^(3x+4) = (2^2)^(2x-1)

Use exponent rules: 2^(3(3x+4)) = 2^(2(2x-1))

Eliminate bases: 3(3x+4) = 2(2x-1)

9x+12 = 4x-2

5x+12 = -2

5x = -14

x = -14/5