Question

Solve for x
logx+log(x-1)-log(4x)

Answer 1

Hm, is there an equals sign in there somewhere?

Answer 2

Ooops!!
logx+log(x-1)=log(4x)

Answer 3

@JoannaBlackwelder

Answer 4

Ah, that makes more sense. :-) Any ideas how to start?

Answer 5

Uhm....no lol

Answer 6

Ok, no worries. We need to combine the logs on the left side.

Answer 7

loga + logb = log(ab)

Answer 8

Can you use that formula?

Answer 9

Got it so logx multiplies by log(x-1) which is log x(x-1) right?

Answer 10

Yep, great!

Answer 11

So, we have log x(x-1) = log (4x)

Answer 12

Any thoughts from here?

Answer 13

Maybe multiply the left side

Answer 14

to get log (x^2-1)

Answer 15

Multiplying sounds good. But check your distributing.

Answer 16

Wait so then would it be x^2-x??

Answer 17

log x^2-x?

Answer 18

Yep :-)

Answer 19

Ok, so, any ideas on the next step?

Answer 20

divide by 4 on the left side?

Answer 21

Hm, no, we can't divide. Because we still have logs.

Answer 22

Okay well...