document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1093236>Question 1093236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express log_4(7) in terms of natural logarithms. Don't find a numerical answer. <BR>\n" );
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document.write( "--log_4(7) AKA log base 4 of 7\r<BR>\n" );
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document.write( "---- I am not sure how to answer this, what are the steps to solve this type of problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #707849 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=707849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=log%284%2C7%29 ALIGN=MIDDLE  ALT=\"x=log%284%2C7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5Ex=7 ALIGN=MIDDLE  ALT=\"4%5Ex=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "taking logarithms base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e ALIGN=MIDDLE  ALT=\"e\"   DISABLED_style= \"max-width:90%; height:auto;\" > on both sides of that equation,<BR>\n" );
document.write( "we find the equivalent equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%284%5Ex%29=ln%287%29 ALIGN=MIDDLE  ALT=\"ln%284%5Ex%29=ln%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "using the properties of logarithms, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Aln%284%29=ln%287%29 ALIGN=MIDDLE  ALT=\"x%2Aln%284%29=ln%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and solving for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=highlight%28ln%287%29%2Fln%284%29%29 ALIGN=MIDDLE  ALT=\"x=highlight%28ln%287%29%2Fln%284%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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