SOLUTION: Please help,I'm so stuck: Solve the system of equations log(x+1)y=2 log(y+1)x=1/4 Thank you!!

Question 1051651: Please help,I'm so stuck:
Solve the system of equations
log(x+1)y=2
log(y+1)x=1/4
Thank you!!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve the system of equations
log(x+1)y=2
log(y+1)x=1/4
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If x+1 and y+1 are the bases of the logs:
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Write in exponential form:
(x+1)^2 = y
(y+1)^(1/4) = x
y+1 = x^4
---
Sub for y:
(x+1)^2 + 1 = x^4

Using observation, graphs, or other methods, x = -1 is a solution.
--
Divide the quartic by (x+1).
-->
----
Then using graphs, 1.695620769559863 is a solution.
-----
The other 2 solutions are complex.

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