SOLUTION: Solve for X: log2(x- 3)= 4

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve for X: log2(x- 3)= 4       Log On


   



Question 245683: Solve for X:

log2(x- 3)= 4

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
Log%5B2%5D%28x-3%29+=+4
Recall that: Log%5Bb%5D%28x%29+=+y can be expressed in exponential form as: b%5Ey+=+x and, in this problem, b (the base) = 2, y = 4, and the x is (x-3), so...
Log%5B2%5D%28x-3%29+=+4--->2%5E4+=+%28x-3%29 or...
16+=+x-3 Add 3 to both sides.
19+=+x or highlight%28x+=+19%29