SOLUTION: 3/2 log base 2 (4) - 1/2 log base 2 (x) = 3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 3/2 log base 2 (4) - 1/2 log base 2 (x) = 3      Log On


   

Question 422322: 3/2 log base 2 (4) - 1/2 log base 2 (x) = 3
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solution:
3/2logbase 2 (4)-1/2logbase 2 (x)= 3
log base 2 (4)^3/2- log base 2 (x)^1/2= 3
log base2 (2)^3- log base2 (x)^1/2= log base2 (8)
Subtract log base 2 (8) from both sides of equation.
-log base 2 (x)^1/2= 0
x^1/2 = 1 (Because log base 2 (1)= 0)
x=1