Question

2^x .27=3^x.8
algueeem sabe

Answer 1

$2^{x}$ *27 = $3^{x}$ * 8
$2^{x}$ *3³ = $3^{x}$ * 2³
3³ /2³ = $3^{x}$ / $2^{x}$  
$2^{x}$= 2³ e $3^{x}$ =3³
x = 3

-----------------------------------------------------
 27 = 3*3*3 =  3³
 8 = 2*2*2 =  2³

Answer 2

$2^{x}.27=3^{x}.8 \\ \\ 2^{x}.3^{3}=3^{x}.2^{3} \\ \\ \frac{2^{x}}{2^{3}}= \frac{3^{x}}{3^{3}} \\ \\ 2^{x-3}=3^{x-3} \\ \\ log 2^{x-3}=log3^{x-3} \\ \\(x-3).log 2 = (x-3).log 3 \\ \\ (x-3).0,3010=(x-3).0,477 \\ \\ 0,3010x - 0,903 = 0,477x-1,431 \\ \\ 0,3010x - 0,477x = -1,431 + 0,903 \\ \\ -0,176x = -0,528 \\ \\ x = \frac{0,528}{0,176} = 3$

Espero ter ajudado.