document.write( "Question 601556: Express irrational solutions in exact form as a decimal rounded to three decimal places
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\n" ); document.write( "log2(3x+2)-log4x=3 (((log base 2 of (3x+2) - log base 4 of x =3))) \n" ); document.write( "
Algebra.Com's Answer #379887 by lwsshak3(11628)\"\" \"About 
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log2(3x+2)-log4x=3
\n" ); document.write( "convert to log base 2
\n" ); document.write( "log2(3x+2)-log2(x)/log2(4)=3
\n" ); document.write( "log2(4)=2
\n" ); document.write( "log2(3x+2)-log2(x)/2=3
\n" ); document.write( "LCD=2
\n" ); document.write( "2log2(3x+2)-log2(x)=6
\n" ); document.write( "place under single log
\n" ); document.write( "log2[(3x+2)^2/x)]=6
\n" ); document.write( "convert to exponential form
\n" ); document.write( "2^6=(3x+2)^2/x
\n" ); document.write( "64=(9x^2+12x+4)/x
\n" ); document.write( "64x=9x^2+12x+4
\n" ); document.write( "9x^2-52x+4=0
\n" ); document.write( "solve by quadratic formula:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=9, b=-52, c=4
\n" ); document.write( "x=.078
\n" ); document.write( "or
\n" ); document.write( "x=5.700\r
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