SOLUTION: Solve for x: log (x - 6) base of 2 = 3 - log 4 base of 2

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve for x: log (x - 6) base of 2 = 3 - log 4 base of 2      Log On


   

Question 616501: Solve for x: log (x - 6) base of 2 = 3 - log 4 base of 2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
log (x - 6) base of 2 = 3 - log 4 base of 2
log2(x-6)=3-log2(4)
log2(x-6)+log2(4)=3
log2[(x-6)*4]=3
convert to exponential form
2^3=4(x-6)=8
4x-24=8
4x=32
x=8