document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83403>Question 83403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the exponential equation and express approximate solutions to the nearest hundredth.<BR>\n" );
document.write( "7^x + 8 = 38<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59908 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am assuing that you probably mean this for the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E%28x+%2B+8%29+=+38 ALIGN=MIDDLE  ALT=\"7%5E%28x+%2B+8%29+=+38\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take the ln or the log of each side, whichever you prefer.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln+7%5E%28x%2B8%29+=+ln+38+ ALIGN=MIDDLE  ALT=\"ln+7%5E%28x%2B8%29+=+ln+38+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By law of logarithms, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B8%29+ln+7+=+ln+38+ ALIGN=MIDDLE  ALT=\"%28x%2B8%29+ln+7+=+ln+38+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By distributive property:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+ln+7+%2B+8+ln+7+=+ln+38+ ALIGN=MIDDLE  ALT=\"x+ln+7+%2B+8+ln+7+=+ln+38+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+ln+7+=+ln+38+-+8+ln+7+ ALIGN=MIDDLE  ALT=\"x+ln+7+=+ln+38+-+8+ln+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by ln 7:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+%28ln+38+-+8+ln+7%29%2F%28ln+7%29+ ALIGN=MIDDLE  ALT=\"x=+%28ln+38+-+8+ln+7%29%2F%28ln+7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using a calculator, you should have <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+-6.1306 ALIGN=MIDDLE  ALT=\"x=+-6.1306\"   DISABLED_style= \"max-width:90%; height:auto;\" > which of course rounds off to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-6.13 ALIGN=MIDDLE  ALT=\"x=-6.13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You may want to see my Lesson Plans on Logarithms in algebra.com.  Also, check out my website by clicking on my tutor name \"rapaljer\" anywhere in algebra.com, and look for \"MATH IN LIVING COLOR\", then look in College Algebra.  My entire Chapter 4 of College Algebra is devoted to LOGARITHMS.\r<BR>\n" );
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document.write( "R^2 at SCC<BR>\n" );
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