Question

Quick log problem, trivial

Answer 1

If

\[\huge \log_{\sqrt{8}}b=\frac{ 10 }{ 3 }\]

Answer 2

I am getting 2^5 i am probably incorrect

Answer 3

@midhun.madhu1987

Answer 4

plugin b=2^5 and see if it satisfies ?

Answer 5

\[\large b=\left(8^{1/2}\right)^{10/3}=8^{5/3}=2^5\]

Answer 6

yes :)

Answer 7

yes sorry

Answer 8

no , i was in confusion because the answer given is 2

Answer 9

but 2^5 seems right

Answer 10

yeah textbook must be having a typo
for b=2, you get \(\large \log_{\sqrt{8} } 2 = \dfrac{\log_2 2}{\log_2 \sqrt{8}} = \dfrac{1}{3/2} \ne \dfrac{10}{3}\)

Answer 11

no i looked up the wrong answer _-_

Answer 12

-_-

Answer 13

lol