Question

log x^3 y^5

Answer 1

Expand each logarithm.

Answer 2

make use of the following rules:\[\log(ab)=\log(a)+\log(b)\]and:\[\log(a^b)=b\log(a)\]

Answer 3

which one do i use?

Answer 4

Well....both.

Answer 5

First use product rule of logs. Then, use the next one.

Answer 6

treat \(x^3\) as a and \(y^5\) as b and apply product rule first

Answer 7

so its 3 log x + 5 log y ?

Answer 8

yup

Answer 9

Thank you ^^

Answer 10

yw