document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=618666>Question 618666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each equation: Round answers to the nearest thousandth.\r<BR>\n" );
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document.write( "4^(6x-1)=5^(x+4)\r<BR>\n" );
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document.write( "I origionally attepted to set the equation to a logarithim but i was not sure how to remove the X from both powers, i got to <BR>\n" );
document.write( "logbase4 5^(x+4)=6x-1 but got lost with the x+4, but now while typeing this i think i may use power property? (x+4)logbase4 5=6x-1? Then I get lost with how to remove the log from the problem, thanks -Brandon </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389037 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=389037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4^(6x-1)=5^(x+4) <BR>\n" );
document.write( "take the log of both sides:<BR>\n" );
document.write( "log(4^(6x-1))= log(5^(x+4)) <BR>\n" );
document.write( "(6x-1)log(4)= (x+4)log(5) <BR>\n" );
document.write( "(6x)log(4) - log(4) = xlog(5)+4log(5) <BR>\n" );
document.write( "(6x)log(4) = xlog(5)+4log(5)-log(4) <BR>\n" );
document.write( "(6x)log(4)-xlog(5) = 4log(5)-log(4) <BR>\n" );
document.write( "x[6log(4)-log(5)] = 4log(5)-log(4) <BR>\n" );
document.write( "x = [4log(5)-log(4)] / [6log(4)-log(5)]<BR>\n" );
document.write( "x = 2.1938 / 2.9134<BR>\n" );
document.write( "x = 0.753<BR>\n" );
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