document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168676>Question 1168676</A>: <I><SPAN STYLE=\"word-break: break-all;\">  If possible, solve the equation 1.7(2.8)^(4x)=7(4.6)^x. Give exact answers, not decimals. If there is more than one solution, enter a comma separated list of answers, and enter NONE if there are no solutions.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #793266 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=793266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> see the worksheet below.\r<BR>\n" );
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document.write( "step 1 is the equation.<BR>\n" );
document.write( "step 2 divides both sides of the equation by 1.7<BR>\n" );
document.write( "step 3 divides both sides of the equation by 4.6^x.<BR>\n" );
document.write( "step 4 takes the log of both sides of the equation.<BR>\n" );
document.write( "step 5 converts log(a/b) to log(a) - log(b).<BR>\n" );
document.write( "step 6 converts log(a^x) to x*log(a).<BR>\n" );
document.write( "step 7 factors out the x on the left side of the equation.<BR>\n" );
document.write( "step 8 divides both sides of the equation by (4log(2.8)-log(4.6)).<BR>\n" );
document.write( "step 9 solves for x.\r<BR>\n" );
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document.write( "the answer is an irrational number and so can't be converted to a fraction.\r<BR>\n" );
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document.write( "if you need to have everything in fraction form, then go back to step 8 and convert 1.7 and 2.8 and 4.6  to a fraction.\r<BR>\n" );
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document.write( "you will get:\r<BR>\n" );
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document.write( "                              log(70/17)\r\n" );
document.write( "              x =   -----------------------------\r\n" );
document.write( "                       4*log(14/5) - log(23/5)\r\n" );
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document.write( " </SPAN>\n" );
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