SOLUTION: Solve for x and y if logx + logy = 4 logx + 2logy = 3 Note Bases are in base 10

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Question 1153101: Solve for x and y if
logx + logy = 4
logx + 2logy = 3
Note
Bases are in base 10
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
Subtract first equation from second equation.
log%28y%29=-1
If base 10 logs, then 10%5E%28-1%29=1.
highlight%28y=1%29


Next use elimination of log(y).
2log%28x%29%2B2log%28y%29=8
log%28x%29%2B2log%28y%29=3
-
subtract.
log%28x%29=5
highlight%28x=10%5E5%29