SOLUTION: Solve the simultaneous equations giving your answer in logarithmic form: 3^(X-y) = 9^y 2^X = 6(2^y)

Question 1043767: Solve the simultaneous equations giving your answer in logarithmic form:
3^(X-y) = 9^y
2^X = 6(2^y)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve the simultaneous equations giving your answer in logarithmic form:

:
we can greatly simplify the 1st equation; 9 = 3^2, therefore we can write it

therefore
x - y = 2y
x = 3y
the 2nd equation

= 6
Replace x with 3y
= 6
therefore
= 6
2y*log(2) = log(6)
2y =
2y = 2.525
y = 2.525/2
y = 1.2925
Find x
x = 3(1.2925)
x = 3.877
But they want it in logarithmic form
log(x) = .5885
log(y) = .1114
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