Question

Solve the exponential equation 1/2^x-5=8^x

Answer 1

$( \frac{1}{2} ) {}^{x - 5} = 8 {}^{x} \\ 2 {}^{ - x + 5} = 2 {}^{3x} \\ - x + 5 = 3x \\ - 4x = - 5 \\ x = \frac{ - 5}{ - 4} = \frac{5}{4}$