SOLUTION: Could you please explain to me how to combine the terms of the expression into only one logarithm. log3(x)+log3(x+2)-log2(3x-4)^2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Could you please explain to me how to combine the terms of the expression into only one logarithm. log3(x)+log3(x+2)-log2(3x-4)^2      Log On


   



Question 220559: Could you please explain to me how to combine the terms of the expression into only one logarithm.
log3(x)+log3(x+2)-log2(3x-4)^2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Could you please explain to me how to combine the terms of the expression into only one logarithm.
log3(x)+log3(x+2)-log2(3x-4)^2
---
Solve 3^y = 2
y = ln2/ln3 = 0.6309
-------------------------

log3[x(x+2)] - 0.6309log3[(3x-4)^2]
log3[x(x+2)] - log3(3x-4)^(2(0.6309))
----
log3[x(x+2)/(3x-4)^1.2619]
==============================
Cheers,
Stan H.