SOLUTION: Find the solution set of logarithm of x base3 + logarithm of (2x-3) base3 = 3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find the solution set of logarithm of x base3 + logarithm of (2x-3) base3 = 3      Log On


   

Question 763285: Find the solution set of logarithm of x base3 + logarithm of (2x-3) base3 = 3
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the solution set of logarithm of x base3 + logarithm of (2x-3) base3 = 3
----------
log%283%2Cx%29+%2B+log%283%2C2x-3%29+=+3
log%283%2Cx%2A%282x-3%29%29+=+3
3+=+log%283%2C3%5E3%29
x(2x-3) = 27
2x%5E2+-+3x+-+27+=+0
(2x - 9)(x + 3) = 0
x = -3 not allowed --> log of negative
-----
x = 9/2