document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30534>Question 30534</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a)given that 3 + 2log2 x= log2 y show that y=8x2\r<BR>\n" );
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document.write( "b)Find the roots &#945; and &#946; where &#945;<&#946; of the equation\r<BR>\n" );
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document.write( "3+ 2log2 x = log2 (14x-3)\r<BR>\n" );
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document.write( "c)Show that log2 &#945; = -2\r<BR>\n" );
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document.write( "d)calculate log2 &#946;, giving your answer to 3sf.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17190 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)given that 3 + 2log2 x= log2 y show that y=8x2 <BR>\n" );
document.write( "3+2LOG(X)/LOG(2) = LOG(Y)/LOG(2)...SINCE LOG(X) TO BASE A = LOG(X)/LOG(A)..TO ANY COMMON BASE.<BR>\n" );
document.write( "3LOG(2)+2LOG(X)=LOG(Y)<BR>\n" );
document.write( "LOG(2^3)+LOG(X^2)=LOG(Y)...SINCE LOG(X^N)=N*LOG(X)<BR>\n" );
document.write( "LOG(8)+LOG(X^2)=LOG(Y)<BR>\n" );
document.write( "LOG(8X^2)=LOG(Y)...SINCE LOG(X*Y) = LOG(X)+LOG(Y)<BR>\n" );
document.write( "TAKING ANTILOGS<BR>\n" );
document.write( "Y=8X^2<BR>\n" );
document.write( "b)Find the roots &#945; and &#946; where &#945;<&#946; of the equation <BR>\n" );
document.write( "3+ 2log2 x = log2 (14x-3) <BR>\n" );
document.write( "USING RESULT OF ABOVE PROBLEM ,OR PROCEEDING SAME WAY AS ABOVE,WE GET..<BR>\n" );
document.write( "14X-3=8X^2<BR>\n" );
document.write( "8X^2-14X+3=0<BR>\n" );
document.write( "8X^2-12X-2X+3=0<BR>\n" );
document.write( "4X(2X-3)-1(2X-3)=0<BR>\n" );
document.write( "(2X-3)(4X-1)=0<BR>\n" );
document.write( "ALPHA=1/4....AND.....BETA=3/2....<BR>\n" );
document.write( "c)Show that log2 &#945; = -2 <BR>\n" );
document.write( "LOG(1/4)TO BASE 2 =LOG(1/2^2) TO BASE 2..<BR>\n" );
document.write( "LOG(2^-2)TO BASE 2 = -2\r<BR>\n" );
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document.write( "d)calculate log2 &#946;, giving your answer to 3sf. <BR>\n" );
document.write( "LOG(3/2) TO BASE 2.=LOG(1.5)/LOG(2)<BR>\n" );
document.write( "=0.5849 =0.585\r<BR>\n" );
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