document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=691374>Question 691374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) suppose that g(x) = 5^x - 3.<BR>\n" );
document.write( "a) what is g(0)?<BR>\n" );
document.write( "b) What point is on the graph of g?<BR>\n" );
document.write( "c) If g(x) = 622, what is the value of x?\r<BR>\n" );
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document.write( "2) Solve the logarithmic equation:  4e^(y+1) = 5\r<BR>\n" );
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document.write( "3) Write the given expression as a single logarithm:<BR>\n" );
document.write( "     21(log3)(third root of w)+(log3)(9w^2)-(log3)9\r<BR>\n" );
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document.write( "Completely lost and have no idea on how to do these. Help please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426713 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=426713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) suppose that g(x) = 5^x - 3.<BR>\n" );
document.write( "a) what is g(0)?<BR>\n" );
document.write( "g(0) = 5^0 - 3<BR>\n" );
document.write( "any term with an exponent of 0 is equal to 1, therefore<BR>\n" );
document.write( "g(0) = 1 - 3<BR>\n" );
document.write( "g(0) = -2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b) What point is on the graph of g?<BR>\n" );
document.write( "Let x = 2<BR>\n" );
document.write( "g(2) = 5^2 - 3<BR>\n" );
document.write( "g(2) = 25 - 3<BR>\n" );
document.write( "g(2) = 22<BR>\n" );
document.write( "Point 2, 22 is on the graph<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c) If g(x) = 622, what is the value of x?<BR>\n" );
document.write( "x = 622<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2) Solve the logarithmic equation: <BR>\n" );
document.write( "4e^(y+1) = 5<BR>\n" );
document.write( "divide both sides by 4<BR>\n" );
document.write( "e^(y+1) = 5/4<BR>\n" );
document.write( "e^(y-1) = 1.25<BR>\n" );
document.write( "Using nat logs<BR>\n" );
document.write( "ln(e^(y-1) = ln(1.25)<BR>\n" );
document.write( "The log equiv of exponent<BR>\n" );
document.write( "(y-1)*ln(e) = ln(1.25)<BR>\n" );
document.write( "the ln of e is one so we have<BR>\n" );
document.write( "y - 1 = .223<BR>\n" );
document.write( "y = .223 + 1<BR>\n" );
document.write( "y = 1.223<BR>\n" );
document.write( "Check this on your calc: enter: 4*e^(1.223-1), results: 4.999 ~ 5<BR>\n" );
document.write( ":\r<BR>\n" );
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document.write( "3) Write the given expression as a single logarithm:<BR>\n" );
document.write( "21(log3)(third root of w)+(log3)(9w^2)-(log3)9 <BR>\n" );
document.write( "Assume you mean:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2Alog%283%2Cw%5E%281%2F3%29%29%2Blog%283%2Cw%5E2%29-log%283%2C9%29 ALIGN=MIDDLE  ALT=\"21%2Alog%283%2Cw%5E%281%2F3%29%29%2Blog%283%2Cw%5E2%29-log%283%2C9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the exponent equiv<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2Alog%283%2Cw%5E%2821%281%2F3%29%29%29%2Blog%283%2Cw%5E2%29-log%283%2C9%29 ALIGN=MIDDLE  ALT=\"21%2Alog%283%2Cw%5E%2821%281%2F3%29%29%29%2Blog%283%2Cw%5E2%29-log%283%2C9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2Cw%5E7%29%2Blog%283%2Cw%5E2%29-log%283%2C9%29 ALIGN=MIDDLE  ALT=\"log%283%2Cw%5E7%29%2Blog%283%2Cw%5E2%29-log%283%2C9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Adding logs is multiply, subtracting logs is divide<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C%28w%5E7%2Aw%5E2%29%2F9%29 ALIGN=MIDDLE  ALT=\"log%283%2C%28w%5E7%2Aw%5E2%29%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C%28w%5E9%2F9%29%29 ALIGN=MIDDLE  ALT=\"log%283%2C%28w%5E9%2F9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );