SOLUTION: 1. Solve the equation: logbase4(x-5) = 0.5 � logbase4(1-x). i follow through with the problem and get four different answers but none of them check out when they are plugged int

Question 106297: 1. Solve the equation: logbase4(x-5) = 0.5 � logbase4(1-x).
i follow through with the problem and get four different answers but none of them check out when they are plugged into "X".
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Take a step back.
It's tempting to just apply to rules and look for a solution.
For the problem to have a solution, both log arguments (x-5) and (1-x) must be greater than zero
1.
2.
From 1., we get

From 2., we get

You cannot satisfy both condition since there is no x such that
and .
No solution.
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