SOLUTION: Can you PLEASE help me??? Can you solve this step by step?? log<base 2> X - log<base 2> (X-5) = log<base 2> 4 - log<base 2> 3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Can you PLEASE help me??? Can you solve this step by step?? log<base 2> X - log<base 2> (X-5) = log<base 2> 4 - log<base 2> 3      Log On


   

Question 251075: Can you PLEASE help me??? Can you solve this step by step??
log X - log (X-5) = log 4 - log 3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log (AB)=log(A)+log(B)
log(A/B)=log(A)+log(B)
C*log(A)=log(A^C)
.
.
log%282%2CX%29+-+log%282%2C%28X-5%29%29+=+log%282%2C4%29+-+log%282%2C3%29
log%282%2C%28X%2F%28X-5%29%29%29+=+log%282%2C%284%2F3%29%29
Exponentiate both sides,
X%2F%28X-5%29+=4%2F3
3X=4%28X-5%29
3X=4X-20
-X=-20
X=20