Question

expand the logarithmic expression log(4x^3)/y^2(x-1)^5

Answer 1

\[\log(4x ^{3}/y^2(x-1)^5 ) \]

Answer 2

First you can use log (a/b)=log a -log b

Answer 3

so log4x^3 - log y^2(x-1)^5

Answer 4

Yep

Answer 5

Now open log(4x^3) in terms of sum of logs

Answer 6

im not sure is it 3log4x-2logy(x-1)^5

Answer 7

Nope log 4x^3=log 4+log x^3=2log 2+3log x

Similarly do for 2nd term

Answer 8

ok so 2logy+5log(x-1) ?

Answer 9

Right :)

Answer 10

so I put them over each other or subtract the two........... 2log2+3logx-2logy+5log(x-1) ?

Answer 11

It should be -5log(x-1) and you are done

Answer 12

how did it come out to that

Answer 13

@AravindG

Answer 14

I just subtracted the 2 terms