SOLUTION: I need to figure out how to write an expression as a single logarithm {{{ log(5,4) + log(5,x) - log(5,y) }}}

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Question 719389: I need to figure out how to write an expression as a single logarithm +log%285%2C4%29+%2B+log%285%2Cx%29+-+log%285%2Cy%29+
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I need to figure out how to write an expression as a single logarithm +log%285%2C4%29+%2B+log%285%2Cx%29+-+log%285%2Cy%29+
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They're all the same base.
When the logs are added --> multiplied.
When the logs are subtracted --> divided.
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That's how you do it.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
+log%285%2C4%29+%2B+log%285%2Cx%29+-+log%285%2Cy%29+.....in base 10

+log%284%29%2Flog%285%29+%2B+log%28x%29%2Flog%285%29+-+log%28y%29%2Flog%285%29+

+%28log%284%29+%2B+log%28x%29+-+log%28y%29%29%2Flog%285%29+....write +log%284%29+%2B+log%28x%29 as +log%284x%29

+%28log%284x%29+-+log%285%2Cy%29%29%2Flog%285%29+....write +log%284x%29+-log%28y%29 as +log%284x%2Fy%29

+log%284x%2Fy%29%2Flog%285%29++