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Simultaneous logarithm help?
Doing my revision and I've been given the following question:
Given x and y are both positive, solve the simultaneous equations
log(xy) = 7
log(x/y) = 1
Now, I've tried everything but they haven't given a base so I'm completely stuck. I looked up the answer (I won't say for your sake of discovery) but I can't see how they plug in to the equation at all and it's driving me crazy
1 Answer
- ?Lv 75 years agoFavorite Answer
log(xy) = 7
log(x/y) = 1
log x + log y= 7
log x - log y = 1
add the two
2 log x = 8
log x = 4 => x=10^4
log y = 3 => y=10^3