Question

Решите уравнение 4^x+2 +8∙4^x = 3

Answer 1

16*4^x+8*4^x=3
24*4^x=3
4^x=3/24
4^x=1/8
2^(2x)=2^-3
2x=-3
x=-1,5

Answer 2

$4^{x+2} = 4^x*4^2 = 16*4^x$
$16*4^x +8*4^x = 3$
$24*4^x = 3$
$4^x= \frac{3}{24}$
$4^x= \frac{1}{8}$
$4^x = (2^2)^x = 2^{2x}$
$\frac{1}{8} = 2^{-3}$
$2^{2x}= 2^{-3}$
$2x=-3$
$x = -1,5$