Question

Log8 cube root 64 find the exact value
= log8 4
= log10 4/log10 8?

Answer 1

This?\[\Large \log_8 \sqrt[3]{64}\]

Answer 2

Yes

Answer 3

Oh ok, you can rewrite root to exponent, like this:
\[\Large \log_8 \sqrt[3]{64} \Rightarrow \log_8 64^{\frac{1}{3}}\]

Answer 4

We need to do something to 1/3

Answer 5

I can then move the 1/3 to the front

Answer 6

Right!

Answer 7

Can. I then write 1/3 log8 4^3?

Answer 8

hmm, you can do it, or you could just write \(\Large \dfrac{1}{3}\log_8 8^2\)

Answer 9

it's easier to solve this way. Move 2 to front, like this:
\[\Large \dfrac{2}{3} \log_8 8\]

Answer 10

I see.
, my answer is 2/3

Answer 11

right.

Answer 12

Thank you so much!

Answer 13

glad I helped!