Homework Help: Find the exact value of x Logarithms

1. The problem statement, all variables and given/known data

Find the exact value of x if:

2. Relevant equations
(3x)^lg3=(4x)^lg4.


3. The attempt at a solution
3^lg3x^lg3=4^lg4x^lg4
(x^lg3)/(x^lg4)=(4^lg4)/(3^lg3)
x^lg3-lg4=(4^lg4)(3^-(lg3))
x^lg(3/4)=(4^lg4)(3^lg(1/3))

Please help me, Im stuck here!
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution

 

Re: Logarithms

Thank you so much echild. The answer is (1/12)