document.write( "Question 1121001: Hi, I need step by step solution for this inequality: log_3^(1/2)(x) -5log_3(x) <2 Solution should be x>1/9^(1/3). My Idea was to convert all to log_3 as follows: log_3(x)/log_3(3^(1/2)) - log_3(x^5) \n" ); document.write( "

Algebra.Com's Answer #736743 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
If 3 is the base, what is this?
\n" ); document.write( "---
\n" ); document.write( "log_3^(1/2)(x)
\n" ); document.write( "-------------------
\n" ); document.write( "Use the triple {...} braces.
\n" ); document.write( "eg, $\"log%283%2Cx%29\"$
\n" ); document.write( "===================
\n" ); document.write( " $\"log%28sqrt%283%29%2Cx%29+-+5log%283%2Cx%29+%3C+2\"$
\n" ); document.write( "---
\n" ); document.write( "Convert to base 3:
\n" ); document.write( " $\"log%283%2Cx%2F2%29+-+5log%283%2Cx%29+%3C+log%283%2C9%29\"$
\n" ); document.write( " $\"log%283%2Cx%2F2%29+-+log%283%2Cx%5E5%29+%3C+log%283%2C9%29\"$
\n" ); document.write( " $\"log%283%2C%28x%2F2%29%2Fx%5E5%29+%3C+log%283%2C9%29\"$
\n" ); document.write( " $\"%281%2F2%29%2Fx%5E4+%3C+9\"$
\n" ); document.write( " $\"1%2Fx%5E4+%3C+18\"$
\n" ); document.write( " $\"1+%3C+18x%5E4\"$
\n" ); document.write( " $\"18x%5E4+%3E+1\"$
\n" ); document.write( " $\"x%5E4+%3E+1%2F18\"$
\n" ); document.write( " $\"x+%3E+root%284%2C%281%2F18%29%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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