document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126801>Question 126801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Use the logarithm properties to present the expression log(x + 10) - log x as the logarithm of a single quantity.\r<BR>\n" );
document.write( "\n" );
document.write( "2.Fill in the blank to make a true statement. To solve 3 x = 26, we can take the logarithm of each side of the equation to get log (3 x ) = log (26). The power rule for logarithms would then provide a way of moving the variable x from its position as an __________ to the position of a coefficient. \r<BR>\n" );
document.write( "\n" );
document.write( "3.Write the equation  in logarithmic form (1/5)^-7=78125\r<BR>\n" );
document.write( "\n" );
document.write( "4.Find the value of x:  log3 9 = x<BR>\n" );
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 #92889 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.  The log rule you need to apply is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Ca%29-log%28b%2Cc%29=log%28b%2Ca%2Fc%29 ALIGN=MIDDLE  ALT=\"log%28b%2Ca%29-log%28b%2Cc%29=log%28b%2Ca%2Fc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%2B10%29-log%28x%29=log%28%28x%2B10%29%2Fx%29 ALIGN=MIDDLE  ALT=\"log%28x%2B10%29-log%28x%29=log%28%28x%2B10%29%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2.  I'm presuming you meant to say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex=26 ALIGN=MIDDLE  ALT=\"3%5Ex=26\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The missing word is then 'exponent'\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29%5E-7=78125 ALIGN=MIDDLE  ALT=\"%281%2F5%29%5E-7=78125\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "This can be re-written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E7=78125 ALIGN=MIDDLE  ALT=\"5%5E7=78125\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  We know that if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%29=y ALIGN=MIDDLE  ALT=\"log%28b%2Cx%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Ey=x ALIGN=MIDDLE  ALT=\"b%5Ey=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E7=78125 ALIGN=MIDDLE  ALT=\"5%5E7=78125\"   DISABLED_style= \"max-width:90%; height:auto;\" > implies <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C78125%29=7 ALIGN=MIDDLE  ALT=\"log%285%2C78125%29=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Of course, you could also have left the equation in its original state and said <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%281%2F5%29%2C78125%29=-7 ALIGN=MIDDLE  ALT=\"log%28%281%2F5%29%2C78125%29=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but that is very messy.  Monk wouldn't approve.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C9%29=x ALIGN=MIDDLE  ALT=\"log%283%2C9%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex=9 ALIGN=MIDDLE  ALT=\"3%5Ex=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  But we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=3%5E2 ALIGN=MIDDLE  ALT=\"9=3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > so we can write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex=3%5E2 ALIGN=MIDDLE  ALT=\"3%5Ex=3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Since we also know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Em=b%5En ALIGN=MIDDLE  ALT=\"b%5Em=b%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > if and only if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=n ALIGN=MIDDLE  ALT=\"m=n\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );