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{

Question 20540: What is the value of W? log48 - logw = log4 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 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) (Show Source): You can put this solution on YOUR website!
Find W if log48 - logW = log4 Simplify:
logW = log48 - log4
logW = log(48/4)
logW = log12
W = 12
P.S.
You can't cancel the log's because it's not log times 48. The log of a number is a function of the number, not a factor of the number.
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