Question

can someone help me expand ln(x^2 y^4)/z^4

Answer 1

Is this your question?
\[\ln (\frac{x^2y^4}{z^4})\]

Answer 2

Yes it it

Answer 3

*is

Answer 4

Do you know the addition and subtraction property of logarithms?

Answer 5

no I'm not sure

Answer 6

log A + log B=log AB
Log A- log B= log A/B
so can you use these here? don't change the power yet, just split the multiplication and division

Answer 7

so i can use either the addition equation or subtraction equation ? or both?

Answer 8

we can use both, but it would be good if we use step by step
first split the division by using the subtraction formula

Answer 9

so \[\ln x^2y^4-lnz^4\]

Answer 10

good, now split the multiplication in first term

Answer 11

brenda after that use this property
\[\ln A^b= b\times \ln A\]
Use this for each term and your question will be solved
I'll be back in some time

Answer 12

will it be \[2\ln x+4\ln y-3\ln z\]

Answer 13

yes, good work :)

Answer 14

- 4 ln z

Answer 15

ohh yeah oops. anyway thank you so much for walking me through the process :)

Answer 16

Welcome :)