Question

2*2^x=raiz de 8*raiz quarta de 2*raiz sexta de 2

Answer 1

Resposta:

x = 11/12

Explicação passo-a-passo:

$2.2^x = \sqrt{8}. \sqrt[4]{2}.\sqrt[6]{2}\\2^{x + 1}^= 8^{1/2}.2^{1/4}.2^{1/6}\\2^{x+1} = 2^{3/2}.2^{1/4}.2^{1/6}\\2^{x+1} = 2^{3/2 + 1/4 + 1/6}\\2^{x+1} = 2^{3/2 + 5/12}\\2^{x+1} = 2^{23/12}\\\\x+1 = 23/12\\x = 23/12 - 1\\x = 11/12$

Dúvidas só perguntar.