document.write( "Question 982516: Please help me solve the inequality Log4(2-x) > log2x.
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Algebra.Com's Answer #603335 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Since the log function increases as x increase, you can just solve for the argument inequality.
\n" ); document.write( " $\"4%282-x%29%3E2x\"$
\n" ); document.write( " $\"8-4x%3E2x\"$
\n" ); document.write( " $\"8%3E6x\"$
\n" ); document.write( " $\"x%3C8%2F6\"$
\n" ); document.write( " $\"x%3C4%2F3\"$
\n" ); document.write( "An additional requirement is that both arguments remain positive since log function can only have positive arguments.
\n" ); document.write( " $\"4%282-x%29%3E0\"$
\n" ); document.write( " $\"2-x%3E0\"$
\n" ); document.write( " $\"x%3C2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"2x%3E0\"$
\n" ); document.write( " $\"x%3E0\"$
\n" ); document.write( "So all three of these requirements must be met simultaneously leading to,
\n" ); document.write( " $\"0%3Cx%3C4%2F3\"$
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