document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=21192>Question 21192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good evening,\r<BR>\n" );
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document.write( "I need your help to solve for the exponent t.  5^t = 7^(t+1). I started with t log 5 = (t+1) log 7.  So, I tried deducting (t+1) from both sides and then divide log 7 from both sides, but didn't really understand.\r<BR>\n" );
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document.write( "Please help.\r<BR>\n" );
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document.write( "Joanna </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10182 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=10182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> hello Joanne,\r<BR>\n" );
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document.write( "this is a fairly straight forward algebraic manipulation question. Nothing to be wary of, really. Just be careful what you do:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5Et+=+7%5E%28t%2B1%29 ALIGN=MIDDLE  ALT=\"5%5Et+=+7%5E%28t%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> take logs (base10, whatever :-) )\r<BR>\n" );
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document.write( "tlog5 = (t+1)log7<BR>\n" );
document.write( "tlog5 = tlog7 + log7<BR>\n" );
document.write( "tlog5 - tlog7 = log7<BR>\n" );
document.write( "t(log5 - log7) = log7<BR>\n" );
document.write( "t = log7/(log5 - log7) is your answer\r<BR>\n" );
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document.write( "i would recommend that you ALWAYS work out the answer on your calculator (here it is, -5.78327) and then put that back into the question to check that the left and right hand sides do actually agree. Then you will know for certain, that the answer is correct. \r<BR>\n" );
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document.write( "PS, keep your answer to several decimal places to avoid horrendous rounding errors.\r<BR>\n" );
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document.write( "hope this helps\r<BR>\n" );
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document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
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