SOLUTION: cuanto vale x para log(x+3)=log 2 - log (x-2)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: cuanto vale x para log(x+3)=log 2 - log (x-2)      Log On


   



Question 668465: cuanto vale x para log(x+3)=log 2 - log (x-2)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log(x+3)=log 2 - log (x-2)
------
log[(x+3) = log[2/(x-2)]
-------
x+3 = 2/(x-2)
(x-2)(x+3) = 2
----
x^2 + x -8 = 0
---
x = [-1 +-sqrt(1-4*-8)]/2
----
x = [-1 +- sqrt(33)]/2
---
x = (-1/2) + sqrt(33)/2
----
Cheers,
Stan H.