Question

log de √8 na base 2​

Answer 1

Resposta:

$\displaystyle log_2\sqrt{8} =\frac{3}{2}$

Explicação passo-a-passo:

log₂√8=x

2ˣ=√8

$\displaystyle 2^x=8^{\frac{1}{2} }$

Fatorar 8:

8|2

4|2

2|2

1

8=2.2.2=2³

$\displaystyle 2^x=8^{\frac{1}{2} }=(2^3)^{\frac{1}{2} }=2^{\frac{3}{2}}\\\\\\x=\frac{3}{2}$