Question

Expand the following:

Answer 1

\[\log \sqrt[3]{M^4N}\]

Answer 2

sorry dude still in 8th grade wish i could help

Answer 3

also i have no idea what this means

Answer 4

It's okay. :P

Answer 5

@zepdrix

Answer 6

\[
\sqrt[3] {A B}=A^{1/3} B^{1/3}
\]

Answer 7

\[
\sqrt[3] {A^m b^n}=A^{m/3}B^{n/3}

\]

Answer 8

Alright
So we can have logM^(4/3)+logN^(1/3)

Answer 9

What would I do after that?

Answer 10

Sorry, Let me do it in an easier way
\[
\ln(\sqrt[p]{A^kB^s})=\frac 1 p \ln(A^k B^s)=\frac 1 p \left( k \ln(A)+ s \ln(B) \right)
\]

Answer 11

Use the above formula and you will be done

Answer 12

Did you get it?

Answer 13

What about the B^8??

Answer 14

It is B^s the letter s

Answer 15

In your case
\[
\ln \sqrt[3]{M^4N}
\] and the general case is
\[
\ln(\sqrt[p]{A^kB^s})=\frac 1 p \ln(A^k B^s)=\frac 1 p \left( k \ln(A)+ s \ln(B) \right)
\]

Answer 16

So p=3, A=M, B=N, k=4 and s=1

Answer 17

You should be able to finish it

Answer 18

Oh log expansion :) These are fun

Answer 19

You figure it out?