document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162779>Question 162779</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a)Express the following as a single logarithms<BR>\n" );
document.write( "6 log10y+4log10z-log10y-2\r<BR>\n" );
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document.write( "log (10y)^6 + log (10z)^4 - log (10y) - 2log (10)<BR>\n" );
document.write( "log (10y)^6 (10z)^4  - log (10y) - log (10)^2<BR>\n" );
document.write( "log (10y)^6(10z)^4/(10y) - log (10)^2<BR>\n" );
document.write( "log ((10y)^6 * (10z)^4)/(10y * 10^2)<BR>\n" );
document.write( "log (10^6 y^6 * 10^4z^4)/(10^3 y)<BR>\n" );
document.write( "log (10^10 y^6 z^4)/(10^3 y)<BR>\n" );
document.write( "log 10^7y^5z^4\r<BR>\n" );
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document.write( "b)Factorize the expression 25x2-64y2 and 1/4(Log2x-log2y)<BR>\n" );
document.write( "25x^2 - 64y^2)= (5x - 8y)(5x + 8y)\r<BR>\n" );
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document.write( "1/4 (log2x - log 2y)<BR>\n" );
document.write( "1/4log 2x - 1/4log 2y<BR>\n" );
document.write( "log (2x)^1/4 - log (2y)^ 1/4<BR>\n" );
document.write( "log (2^1/4 x^1/4)/(2^1/4 y^1/4)<BR>\n" );
document.write( "log x^1/4/y^1/4<BR>\n" );
document.write( "or <BR>\n" );
document.write( "log (x/y)^1/4\r<BR>\n" );
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document.write( "c)find the points of intersection of the following two equestions: y=c and y=mx+c.\r<BR>\n" );
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document.write( "Two equations intersect when they are equal...<BR>\n" );
document.write( "c = mx+c<BR>\n" );
document.write( "c-c = mx + c-c<BR>\n" );
document.write( "0 = mx + 0<BR>\n" );
document.write( "0/m = mx/m<BR>\n" );
document.write( "0= x\r<BR>\n" );
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document.write( "Then they intersect when x=0 and y=c<BR>\n" );
document.write( " </SPAN>\n" );
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