SOLUTION: log x^2=y+3 log x=y-1 solve the system

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log x^2=y+3 log x=y-1 solve the system      Log On


   

Question 857787: log x^2=y+3
log x=y-1
solve the system
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log+x%5E2=y%2B3
2%2Alog%28x%29=y%2B3
Let u=log%28x%29
1.2%2Au=y%2B3
.
.
u=y-1
Substitute into eq. 1,
2%28y-1%29=y%2B3
2y-2=y%2B3
y=5
Now go back,
u=y-1
u=5-1
u=4
u=log%28x%29
log%28x%29=4
x=10000