Question

o valor de y no log 8 4, é?

a) 4
b) 8
c) 2/3
d) 12

(por favor coloquem conta)​

Answer 1

Se é $Log_{8} 4$:

$Log_{8} 4\\\\Log_{8} 2^{2}\\\\2.Log_{8} 2$

Vamos resolver o $Log_{8} 2$:

$a^{x} = b\\\\8^{x} = 2\\\\( 2^{3})^{x} = 2^{1}\\\\2^{3x} = 2^{1}\\\\3x = 1\\\\x = 1/3$

Voltando:

$2.Log_{8} 2\\\\2.\frac{1}{3} \\\\\frac{2}{3}$