document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1090141>Question 1090141</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Gud afternoon.please be so kind to assist me with the following:\r<BR>\n" );
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document.write( "1.solve the following equation<BR>\n" );
document.write( "1.1. 6log4n+3log4n-3=log4n+2log4n<BR>\n" );
document.write( "1.2. (x-15)3/2=27<BR>\n" );
document.write( "1.3.log(x+10)=2\r<BR>\n" );
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document.write( "2. A survey carried out in a certain village that 1/2 of the people who were interviewed are youth,1/3 are people living with disability,while 1/5 of the remainder are pensioners and the remaining 2500 villagers did not take part in the survey.<BR>\n" );
document.write( "2.1.  show all the necessary calculation to determine the total number of people living in that village.<BR>\n" );
document.write( "2.2. determine the difference in number between the people living with disability and pensioners.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704692 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=704692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.1. 6log4n+3log4n-3=log4n+2log4n<BR>\n" );
document.write( "Without brackets this problem is too ambiguous to deal with<BR>\n" );
document.write( ":<BR>\n" );
document.write( " 1.2. (x-15)3/2=27<BR>\n" );
document.write( "I think you mean<BR>\n" );
document.write( "(x-15)^(3/2) = 27<BR>\n" );
document.write( "Raise both sides with the exponent (2/3)<BR>\n" );
document.write( "(x - 15) = 27^(2/3)<BR>\n" );
document.write( "x - 15 = 9<BR>\n" );
document.write( "x = 9 + 15<BR>\n" );
document.write( "x = 24<BR>\n" );
document.write( ";<BR>\n" );
document.write( " 1.3.log(x+10)=2 <BR>\n" );
document.write( "write this as the exponent equiv of common logs<BR>\n" );
document.write( "x + 10 = 10^2<BR>\n" );
document.write( "x + 10 = 100<BR>\n" );
document.write( "x = 100 -10<BR>\n" );
document.write( "x = 90<BR>\n" );
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document.write( " 2. A survey carried out in a certain village that 1/2 of the people who were interviewed are youth,1/3 are people living with disability,while 1/5 of the remainder are pensioners and the remaining 2500 villagers did not take part in the survey.<BR>\n" );
document.write( " 2.1. show all the necessary calculation to determine the total number of people living in that village.<BR>\n" );
document.write( "let x = total no. in the village, then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2%7D%7D%29x+=+youths%0D%0A%7B%7B%7B1%2F3 ALIGN=MIDDLE  ALT=\"1%2F2%7D%7D%29x+=+youths%0D%0A%7B%7B%7B1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = disabled<BR>\n" );
document.write( "Find the remaining, subtract the youth and disabled<BR>\n" );
document.write( "x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3x ALIGN=MIDDLE  ALT=\"1%2F3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >x remain<BR>\n" );
document.write( "Find 1/5 of the remaining<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F30 ALIGN=MIDDLE  ALT=\"1%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >x are pensioners<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F30 ALIGN=MIDDLE  ALT=\"1%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 2500<BR>\n" );
document.write( "common denominator is 30<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F30 ALIGN=MIDDLE  ALT=\"15%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F30 ALIGN=MIDDLE  ALT=\"10%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F30 ALIGN=MIDDLE  ALT=\"1%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 2500<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F30 ALIGN=MIDDLE  ALT=\"26%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 2500<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F30 ALIGN=MIDDLE  ALT=\"30%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F30 ALIGN=MIDDLE  ALT=\"26%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = 2500<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F30 ALIGN=MIDDLE  ALT=\"4%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = 2500<BR>\n" );
document.write( "multiply both sides by 30<BR>\n" );
document.write( "4x = 75000<BR>\n" );
document.write( "x = 75000<BR>\n" );
document.write( "x = 18750 total population of the village<BR>\n" );
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document.write( " 2.2. determine the difference in number between the people living with disability and pensioners. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(18750) = 6250 disabled<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F30 ALIGN=MIDDLE  ALT=\"1%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >(18750) =  625 pensioners<BR>\n" );
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document.write( "the difference: = 5625 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );