SOLUTION: logarithms... 2log(base2)x+log(base2)5=4 how do u solve that in exact form

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: logarithms... 2log(base2)x+log(base2)5=4 how do u solve that in exact form      Log On


   

Question 207714: logarithms...
2log(base2)x+log(base2)5=4
how do u solve that in exact form
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
logarithms...
2log(base2)x+log(base2)5=4
-----
log(2)x^2 + log(2)5 = 4
---
log(2)[5x^2) = 4
---
5x^2 = 2^4
5x^2 = 16
x^2 = 16/5
x = +/- (4/5)sqrt(5)
=========================
Cheers,
Stan H.
=========================