SOLUTION: simplify the expression log3 (x+1) -log3 (3x^2-3x-6)+log3 (x-2) The 3 on each log is lowered

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: simplify the expression log3 (x+1) -log3 (3x^2-3x-6)+log3 (x-2) The 3 on each log is lowered      Log On


   

Question 1026110: simplify the expression
log3 (x+1) -log3 (3x^2-3x-6)+log3 (x-2)
The 3 on each log is lowered
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39790) About Me  (Show Source):
You can put this solution on YOUR website!
log3 (x+1) -log3 (3x^2-3x-6)+log3 (x-2)

The 3 on each log is lowered
The 3 next to each "log" is the base for the logarithm.

log(3,(x+1))-log(3,(3x^2-3x-6))+log(3,(x-2))
log%283%2C%28x%2B1%29%29-log%283%2C%283x%5E2-3x-6%29%29%2Blog%283%2C%28x-2%29%29

log%283%2C%28%28x%2B1%29%28x-2%29%2F%283x%5E2-3x-6%29%29%29

Answer by MathTherapy(10801) About Me  (Show Source):
You can put this solution on YOUR website!
simplify the expression
log3 (x+1) -log3 (3x^2-3x-6)+log3 (x-2)

The 3 on each log is lowered
****************************

log%283%2C%28%28x%2B1%29%28x-2%29%2F%283x%5E2-3x-6%29%29%29 is NOT the simplified form of log3 (x+1) -log3 (3x^2-3x-6)+log3 (x-2), as the
                                other person who responded, indicates!


log+%283%2C+%28%28x+%2B+1%29%2F%283x%5E2+-+3x+-+6%29+%2A+%28x+-+2%29%29%29 ----- Applying log+%28b%2C+%28c%29%29+-+log+%28b%2C++%28d%29%29+%2B+log+%28b%2C+%28e%29%29%29 = log+%28b%2C+%28c%2Fd+%2A+e%29%29 
log+%283%2C+%28%28x+%2B+1%29%2F3%28x%5E2+-+x+-+2%29+%2A+%28x+-+2%29%29%29 ----- Factoring out GCF, 3, in DENOMINATOR
log+%283%2C+%28%28x+%2B+1%29%2F3%28x+-+2%29%28x+%2B+1%29+%2A+%28x+-+2%29%29%29 ---- Factorizing QUADRATIC/TRINOMIAL, in DENOMINATOR
 = log+%283%2C+%281%2F3%29%29 = log+%283%2C+%283%5E%28-+1%29%29%29 = - 1