SOLUTION: log(3) 21 - log(3) 7 = log(3)Y what and how do you find the Y?

Question 251778: log(3) 21 - log(3) 7 = log(3)Y
what and how do you find the Y?

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Combine the logs on the left side using the identity

Reduce.

Since the bases of the logs are equal, the arguments (the expressions inside the logs) are equal.

So the solution is
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
log(3) 21 - log(3) 7 = log(3)Y
what and how do you find the Y?
------------------------
log(3)[21/7) = log(3)y
---
log(3)3 = log(3)Y
1 = log(3)Y
Convert to exponential form:
y = 3^1
y = 3
================
Cheers,
Stan H.
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