Question

log da raiz quadrada de 8 na base 2

Answer 1

log [2]√8 = x

2^x = √8                    --------------------> √8 = 2^3(1/2) = 2^3/2

2^x = 2^3/2

x = 3/2

Answer 2

log₂√8 = $\frac{log \sqrt{8} }{log2}= \frac{log8 ^{ \frac{1}{2} } }{log2} = \frac{ \frac{1}{2}log8 }{log2} = \\ \frac{1}{2}* \frac{log2 ^{3} }{log2} = \frac{1}{2}* \frac{3log2}{log2} = \frac{1}{2}* 3 =\frac{3}{2}$