Question

Find the value of log 8/√2

Answer 1

Answer:

log√8 / log8

log 8 ^ 1/2 / log 8

= 1/2 log 8 / log 8

= 1/2 .

Thanks^∆^........

Answer 2

The value of log 8/√2 is $\frac{5}{4}$ log[$\sqrt{2}$].

Explanation:

Given, log \frac{8}{$\sqrt{2}$} = log [4·$\sqrt{2}$] =

= log [$\sqrt{2} x^{\frac{1}{4} }$·$\sqrt{2} 1^{2}$] =

=$\frac{5}{4}$ log[$\sqrt{2}$]

Hence, the value of log 8/√2 = $\frac{5}{4}$ log[$\sqrt{2}$].