SOLUTION: What is the value of W? log{{{8}}}48 - log{{{8}}}w = log{{{8}}}4 When I did the equation the first time I got zero, but the second time I got 44. What I did was cancel out the log{

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: What is the value of W? log{{{8}}}48 - log{{{8}}}w = log{{{8}}}4 When I did the equation the first time I got zero, but the second time I got 44. What I did was cancel out the log{      Log On


   

Question 20540: What is the value of W? log848 - log8w = log84 When I did the equation the first time I got zero, but the second time I got 44. What I did was cancel out the log8 on both sides and was left with 48-w=4. When I solved I got 44. Can you please help me and tell me if my answer is correct or not? Thanks
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find W if log848 - log8W = log84 Simplify:
log8W = log848 - log84
log8W = log8(48/4)
log8W = log812
W = 12
P.S.
You can't cancel the log8's because it's not log8 times 48. The log of a number is a function of the number, not a factor of the number.