SOLUTION: Solve the equation, log9 (b + 4) - log9 (b - 3) = log9 8. I tried to figure out a couple of ways; and came up with the answer that b=4. Is this answer correct?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the equation, log9 (b + 4) - log9 (b - 3) = log9 8. I tried to figure out a couple of ways; and came up with the answer that b=4. Is this answer correct?       Log On


   

Question 292093: Solve the equation, log9 (b + 4) - log9 (b - 3) = log9 8.
I tried to figure out a couple of ways; and came up with the answer that b=4.
Is this answer correct?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation, log9 (b + 4) - log9 (b - 3) = log9 8.
I tried to figure out a couple of ways; and came up with the answer that b=4.
Is this answer correct?
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Sub 4, see if it's correct:
Since the base is consistent,
log(8) - log(1) = log(8)
log(1) = 0 for any base, so it's correct.