Question

Simplify:
2^x-3 = 4^x-1
​

Answer 1

${2}^{x - 3} = {4}^{ x - 1}$

${2}^{x - 3} = {2}^{2(x - 1)}$

$x - 3 = 2(x - 1)$

$x - 3 = 2x - 2$

$- 3 = 2x - 2 - x$

$- 3 = x - 2$

$x = - 3 + 2$

$x = - 1$