SOLUTION: 2+log2 x=log2 (3+X^2) "2" is the base

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 2+log2 x=log2 (3+X^2) "2" is the base       Log On


   

Question 982294: 2+log2 x=log2 (3+X^2) "2" is the base
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
2+log(2,X)=log(2,(3+X^2))

2%2Blog%282%2CX%29=log%282%2C%283%2BX%5E2%29%29

log%282%2C%283%2BX%5E2%29%29-log%282%2CX%29=2

log%282%2C%28%28X%5E2%2B3%29%2FX%29%29=2

This means 2%5E2=%28X%5E2%2B3%29%2FX------solve from here.

....
ultimately %28X-1%29%28X-3%29=0;
X is either 1 or 3.

--
Assumed you have only one single variable, X
(not x).
Pick your case level and stay with it unless you have two separate variables, x and X, and that x%3C%3EX.