Question

ln(uv^3)^10=A ln u+B ln v

what are A and B?

Answer 1

\[\ln(ab)=\ln(a)+\ln(b)\]
use this first

Answer 2

on \[ln(uv^3)\]

Answer 3

\[\ln(u)+\ln(v^3) \text{ like this}\]

Answer 4

now use \[\ln(x^r)=r\ln(x)\]
and you are basically done

Answer 5

i dont get how i am suppose to enter these variables into my calc

Answer 6

\[\ln(u)+3 \ln(v)\]
I just used that rule I put

Answer 7

\[1 \ln(u)+3 \ln(v)\]

Answer 8

So now it is easy for you to determine which is A and which is B

Answer 9

so what is A?
and
what is B?

Answer 10

A ln(u) + B ln(v)
1 ln(u) + 3 ln(v)
Do you see what A and B is?

Answer 11

1 and 3?

Answer 12

Oh I didn't see that ^10 at first

Answer 13

\[\ln((uv^3)^{10})\]
is that right?

Answer 14

yea

Answer 15

\[10 \ln(u v^3)=10 (\ln(u)+\ln(v^3))=10 \ln(u)+10 \ln(v^3)=10 \ln(u)+10(3) \ln(v)\]

Answer 16

So A is?
and
B is?

Answer 17

10 and 30 thanks for the help. i have 2 more similar but somewhat different

Answer 18

Use the laws of logarithm to rewrite the expression log (x^14 y^12/ z^13) in a form with no logarithm of a product, quotient, or power. After rewriting we have log (x^14 y^12/ z^13)= A log(x) + B log(y) + C log(z).

what are A, B, and C?

i got a and b, just need c