Question

ln (8x-4)=ln2+lnx

Answer 1

simplify the right side using the properties of logarithm first

Answer 2

ln2+lnx = ln(2x)
ln (8x-4)=ln2+lnx
ln (8x-4)=ln(2x)
8x -4 =2x
Can you do it from here?

Answer 3

I think it's the second property I wrote in your last question :) --> ln2+lnx = ln(2x)

Answer 4

same for both sides and what should i do then?

Answer 5

Do you mean ln (8x-4)=ln(2x) , what should you do next?

Answer 6

yes

Answer 7

why do not we divide the first part then because it was subtracting??

Answer 8

do u understand my question?

Answer 9

Yup...
you need to know that we cannot break the left part, or it is not easy to do so
and if you get something like : lny = lnz , you can 'anti'-ln both sides, which gives you y=z
Do you understand this?

Answer 10

aha thank you!

Answer 11

Welcome :)

Answer 12

BTW, you CANNOT do it like this:
lnx = lny +lnz
x = y + z