SOLUTION: Please help me solve the inequality Log4(2-x) > log2x. thank you for your attention.

SOLUTION: Please help me solve the inequality Log4(2-x) > log2x. thank you for your attention.

Algebra.Com

Question 982516: Please help me solve the inequality Log4(2-x) > log2x.
thank you for your attention.

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Since the log function increases as x increase, you can just solve for the argument inequality.

An additional requirement is that both arguments remain positive since log function can only have positive arguments.

and

So all three of these requirements must be met simultaneously leading to,

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