document.write( "Question 473615: Solve
\n" ); document.write( "i) \"log%28base3%29%282x+%2B+1%29+=+2+%2B+log+%28base3%29+%283x+-+11%29\"
\n" ); document.write( "ii) \"log%28base4%29y+%2B+log+%28base2%29y+=+9+\"\r
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\n" ); document.write( "\n" ); document.write( "*Please answer as soon as possible bro :)
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Algebra.Com's Answer #324833 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
i) log(base3)(2x + 1) = 2 + log (base3) (3x - 11)
\n" ); document.write( "ii)log(base4)y + log (base2)y = 9
\n" ); document.write( "**
\n" ); document.write( "i) log3(2x+1)=2+log3(3x-11)
\n" ); document.write( "log3(2x+1)-log3(3x-11)=2
\n" ); document.write( "log3[(2x+1)/(3x-11)]=2
\n" ); document.write( "convert to exponential form: (base(3) raised to log of number(2)=number(2x+1)/(3x-11)
\n" ); document.write( "3^2=(2x+1)/(3x-11)=9
\n" ); document.write( "2x+1=27x-99
\n" ); document.write( "25x=100
\n" ); document.write( "x=4
\n" ); document.write( "Check:
\n" ); document.write( "log3(2x+1)=2+log3(3x-11)
\n" ); document.write( "log3(8+1)=2+log3(12-11)
\n" ); document.write( "log3(9)=2+log3(1)
\n" ); document.write( "2=2+0
\n" ); document.write( "..
\n" ); document.write( "ii)log4y+log2y=9
\n" ); document.write( "change to base 2
\n" ); document.write( "log2y/log2(4)+log2y=9
\n" ); document.write( "log2y/2+log2y=9
\n" ); document.write( "LCD:2
\n" ); document.write( "log2y+2log2y=18
\n" ); document.write( "3log2y=18
\n" ); document.write( "log2y=6
\n" ); document.write( "convert to exponential form: (base(2) raised to log of number(6)=number (y)
\n" ); document.write( "2^6=y
\n" ); document.write( "y=64
\n" ); document.write( "Check:
\n" ); document.write( "log4y+log2y
\n" ); document.write( "log4(64)+log2(64)=3+6=9
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