document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=365947>Question 365947</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am working a test review sheet for a test coming up but I have a problem that I am not sure how to work out and I can't find a similar example in my notes or text book. I simply need to solve the equation below. \r<BR>\n" );
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document.write( "5(1.044)^x = x+10\r<BR>\n" );
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document.write( "This problem is throwing me off because the x on the left is an exponent and the x on the right is not, so I am unsure how to combine them.\r<BR>\n" );
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document.write( "x log(1.044) = log((x+10)/5)    ...seems WORSE!!  \r<BR>\n" );
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document.write( "Also, I tried using the graphing calculator method to find the value of x by graphing and calculating the intersection of these two equations.  My answer was x = -6.17.  Is this the proper time to use that method or am I just completely wrong?  If it IS a negative number than it cannot be a logarithm right?\r<BR>\n" );
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document.write( "Thanks in advance!\r<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 #260949 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=260949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This problem is throwing me off because the x on the left is an exponent and the x on the right is not, so I am unsure how to combine them.<BR>\n" );
document.write( "x log(1.044) = log((x+10)/5) ...seems WORSE!!<BR>\n" );
document.write( "Also, I tried using the graphing calculator method to find the value of x by graphing and calculating the intersection of these two equations. My answer was x = -6.17. Is this the proper time to use that method or am I just completely wrong? If it IS a negative number than it cannot be a logarithm right?<BR>\n" );
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document.write( "I have often resorted to the graphing calc, in these types of problems:<BR>\n" );
document.write( "A single equation: y = 5(1.044)^x - (x+10) will produce a graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-8%2C+4%2C+-10%2C+10%2C+5%281.044%29%5Ex-%28x%2B10%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-8%2C+4%2C+-10%2C+10%2C+5%281.044%29%5Ex-%28x%2B10%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x intercept = -6.066; which checks out in the original equation<BR>\n" );
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document.write( "A log equiv equation will produce the same intercept on my Ti83<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x+-+%28log%28%28.2x%2B2%29%29%29%2F%28log%28%281.044%29%29%29 ALIGN=MIDDLE  ALT=\"y+=+x+-+%28log%28%28.2x%2B2%29%29%29%2F%28log%28%281.044%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Although I can't seem do this on this graphing feature here.<BR>\n" );
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document.write( "You cannot have a log of negative number, but you can have a log of a number with a negative exponent.<BR>\n" );
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document.write( "Are you allowed to use a graphing calc to solve these kind of problems?<BR>\n" );
document.write( "If not I guess this is not much help. Perhaps you can resubmit and see<BR>\n" );
document.write( "if one of the real smart guys on this forum will help. \r<BR>\n" );
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