Question

Resolva a equação 2ˣ ⁻ ⁶ = 8.2⁻ˣ ⁺ ³
A)x = 3
B)x = 4
C)x = 5
D)x = 6

Answer 1

Resposta:

Explicação passo-a-passo:

$2^{x-6}=8*2^{-x+3}\\8=2^3\\2^{x-6}=2^3*2^{-x+3}\\a^b*a^c=a^{b+c}\\2^{x-6}=2^{3-x+3}\\2^{x-6}=2^{-x+6}\\a^b=a^c => b=c\\x-6=-x+6\\x+x=6+6\\2x=12\\x=\frac{12}{2}\\\\x=6$