Short yet confusing log equation

[MadmanMurray]

Homework Statement

Solve the equation
log x⁴ - log x³ = log 3x - log 2x

I know the laws of logs and I cleared all the other log questions in seconds but I can't figure this one out

Homework Equations

I know that log x⁴ - log x³ is the same as log x⁴/x³
but what I was wondering is if I can use the laws of indices here and substract 3 from the 4 leaving me with log x

The Attempt at a Solution

Im completely stuck on this one

 

[rock.freak667]

Yes you can.

 

[jgens]

Yes, use a similar rule on the other side to solve the equation.

 

[MadmanMurray]

I'm still stuck. So I put the equation in this format logx = log(3x/2x) then cancel out those x's so I have logx = log3/2. Do I just get rid of the logs and say x = 3/2?

EDIT: I thought about that there and realized that obviously is the case. Thanks for the help

 

[jgens]

Good Job!