Question

Quanto é, 2 elevado a 2x-3.2 elevado a x-6= -8 ?

Answer 1

Aplique as propriedades da exponenciação:

$2^{2x}-3\cdot2^x-6=-8\\(2^x)^2-3\cdot2^x-6+8=0\\(2^x)^2-3\cdot2^x+2=0\\\\2^x=y\\\\y^2-3y+2=0\\\\y_1=2~~e~~y_2=1\\\\2^x=y\\\\2^x=2~~~~~~~~~~~~2^x=1\\2^x=2^1~~~~~~~~~~~2^x=2^0\\\not2^x=\not2^1~~~~~~~~\not2^x=\not2^0\\\\x=1~~~~~~~~~~~~~x=0\\\\\\\Large\boxed{\text{S}=\{1,0\}}$

Tenha ótimos estudos ;D