document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194296>Question 1194296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x. Round to the nearest hundredth.\r<BR>\n" );
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document.write( "3*4^x-1 + 7=316 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826458 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=826458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "It appears the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A4%5E%28x-1%29%2B7+=+316 ALIGN=MIDDLE  ALT=\"3%2A4%5E%28x-1%29%2B7+=+316\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If that is the case, then you should use parenthesis to indicate only the \"x-1\" is the exponent. So you should write 3*4^(x-1)+7 = 316\r<BR>\n" );
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document.write( "Here is one way to solve for x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A4%5E%28x-1%29%2B7+=+316 ALIGN=MIDDLE  ALT=\"3%2A4%5E%28x-1%29%2B7+=+316\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A4%5E%28x-1%29+=+316-7 ALIGN=MIDDLE  ALT=\"3%2A4%5E%28x-1%29+=+316-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 7 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A4%5E%28x-1%29+=+309 ALIGN=MIDDLE  ALT=\"3%2A4%5E%28x-1%29+=+309\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E%28x-1%29+=+309%2F3 ALIGN=MIDDLE  ALT=\"4%5E%28x-1%29+=+309%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E%28x-1%29+=+103 ALIGN=MIDDLE  ALT=\"4%5E%28x-1%29+=+103\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%284%5E%28x-1%29%29%29+=+log%28%28103%29%29 ALIGN=MIDDLE  ALT=\"log%28%284%5E%28x-1%29%29%29+=+log%28%28103%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the log to both sides so you can pull down the exponent (see the next step)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29log%28%284%29%29+=+log%28%28103%29%29 ALIGN=MIDDLE  ALT=\"%28x-1%29log%28%284%29%29+=+log%28%28103%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pull down the exponent using the rule log(x^y) = y*log(x)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1+=+log%28%28103%29%29%2Flog%28%284%29%29 ALIGN=MIDDLE  ALT=\"x-1+=+log%28%28103%29%29%2Flog%28%284%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by log(4)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1+=+3.343250 ALIGN=MIDDLE  ALT=\"x-1+=+3.343250\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use your calculator. This value is approximate to 6 decimal places.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3.343250%2B1 ALIGN=MIDDLE  ALT=\"x+=+3.343250%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 1 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4.343250 ALIGN=MIDDLE  ALT=\"x+=+4.343250\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4.34 ALIGN=MIDDLE  ALT=\"x+=+4.34\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rounding to the nearest hundredth (aka 2 decimal places)\r<BR>\n" );
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document.write( "Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4.34 ALIGN=MIDDLE  ALT=\"x+=+4.34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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