Question

Resolva a equacão 4 elevado a x+5 = 1/2 elevado a 2x+3

Answer 1

$4^{x + 5} = (\frac{1}{2})^{2x + 3} \\ 2^{2x + 10} = 2^{ - 2x - 3} \\ 2x + 10 = - 2x - 3 \\ 4x = - 13 \\ x = - \frac{13}{4}$

4 = 2²

1/2 = 2-¹

Answer 2

$4^{x+5} = (\frac{ 1}{2}) ^{2x+3}$
$( 2^{2}) ^{x+5} = (2 ^{-1} ) ^{2x+3}$
$2^{2x+10} = 2^{-2x-3}$

2x +10 = -2x -3
2x + 2x = -3 - 10
4x = -13
$x = \frac{-13}{4}$