document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=478470>Question 478470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following exponential equations using Logarithms.<BR>\n" );
document.write( "Round to 3 decimal places. Please show work, I'm very confused.\r<BR>\n" );
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document.write( "2^x = 30\r<BR>\n" );
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document.write( "5^(x - 1) = 3x\r<BR>\n" );
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document.write( "3.53^(x + 1) = 65.4\r<BR>\n" );
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document.write( "16^(x - 4) = 3^(3 - x)\r<BR>\n" );
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document.write( "7^(x - 2) = 5^x<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 #327823 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=327823\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2^x = 30 <BR>\n" );
document.write( "Take the log of both sides to get:<BR>\n" );
document.write( "x(log(2)) = log(30)<BR>\n" );
document.write( "x = [log(30)]/[log(2)]<BR>\n" );
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document.write( "5^(x - 1) = 3x<BR>\n" );
document.write( "Graph and left side.<BR>\n" );
document.write( "Graph the right side.<BR>\n" );
document.write( "Find any points of intersection.<BR>\n" );
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document.write( "3.53^(x + 1) = 65.4<BR>\n" );
document.write( "(x+1)log(3.53) = log 65.4<BR>\n" );
document.write( "x+1 = [log(65.4)]/[log(3.53)]<BR>\n" );
document.write( "etc.<BR>\n" );
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document.write( "16^(x - 4) = 3^(3 - x)<BR>\n" );
document.write( "(x-4)log(16) = (3-x)log(3)<BR>\n" );
document.write( "[log(16)+log(3)]x = 4log(16)+3log(3)<BR>\n" );
document.write( "Solve for \"x\"<BR>\n" );
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document.write( "7^(x - 2) = 5^x<BR>\n" );
document.write( "Same process as above.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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