document.write( "Question 493606: Hi I need help with this question:\r
\n" ); document.write( "\n" ); document.write( "Evaluate log to the base 2,(2x+1) - log to the base 4,x^2= 1/log to the base 3,2.
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Algebra.Com's Answer #335795 by lwsshak3(11628)\"\" \"About 
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Evaluate log to the base 2,(2x+1) - log to the base 4,x^2= 1/log to the base 3,2
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\n" ); document.write( "log2(2x+1)-log4(x^2)=1/log3(2)
\n" ); document.write( "Convert to log base 10
\n" ); document.write( "log(2x+1)/log2-log(x^2)/log4=log(3)/log(2)
\n" ); document.write( "log(2x+1)/log2-log(x^2)/log4-log(3)/log(2)=0
\n" ); document.write( "log(2x+1)/log(2)-log(x^2)/2log(2)-log(3)/log(2)=0
\n" ); document.write( "LCD=2log(2)
\n" ); document.write( "2log(2x+1)-log(x^2)-2log(3)=0
\n" ); document.write( "place under single log
\n" ); document.write( "log[((2x+1)^2)/(x^2)(3^2)]=0
\n" ); document.write( "..
\n" ); document.write( "Convert to exponential form: base(10) raised to log of number(0)=number[((2x+1)^2)/(x^2)(3^2)]
\n" ); document.write( "..
\n" ); document.write( "10^0=1=(4x^2+4x+1)/9x^2
\n" ); document.write( "(4x^2+4x+1)=9x^2
\n" ); document.write( "5x^2-4x-1=0
\n" ); document.write( "factor
\n" ); document.write( "(5x+1)(x-1)=0
\n" ); document.write( "x=-1/5
\n" ); document.write( "or
\n" ); document.write( "x=1
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