document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202488>Question 1202488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Log7(3x)+log7(2x-1)=log7(16x-10) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837346 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=837346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answers: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5%2F2+ ALIGN=MIDDLE  ALT=\"x+=+5%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+2%2F3 ALIGN=MIDDLE  ALT=\"+x+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Work Shown:\r<BR>\n" );
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document.write( "All logs for this problem are base 7<BR>\n" );
document.write( "log(3x) + log(2x-1) = log(16x-10)<BR>\n" );
document.write( "log(3x*(2x-1)) = log(16x-10) ..... log rule log(A)+log(B) = log(A*B)<BR>\n" );
document.write( "3x*(2x-1) = 16x-10<BR>\n" );
document.write( "6x^2-3x = 16x-10<BR>\n" );
document.write( "6x^2-3x-16x+10 = 0<BR>\n" );
document.write( "6x^2-19x+10 = 0\r<BR>\n" );
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document.write( "Now use the quadratic formula<BR>\n" );
document.write( "a = 6<BR>\n" );
document.write( "b = -19<BR>\n" );
document.write( "c = 10<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28b%5E2+-+4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28b%5E2+-+4ac%29%29%2F%282a%29\"   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+=+%28-%28-19%29+%2B-+sqrt%28%28-19%29%5E2+-+4%286%29%2810%29%29%29%2F%282%286%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-19%29+%2B-+sqrt%28%28-19%29%5E2+-+4%286%29%2810%29%29%29%2F%282%286%29%29\"   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+=+%2819+%2B-+sqrt%28361-240%29%29%2F%282%286%29%29 ALIGN=MIDDLE  ALT=\"x+=+%2819+%2B-+sqrt%28361-240%29%29%2F%282%286%29%29\"   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+=+%2819+%2B-+sqrt%28121%29%29%2F%2812%29 ALIGN=MIDDLE  ALT=\"x+=+%2819+%2B-+sqrt%28121%29%29%2F%2812%29\"   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+=+%2819+%2B-+11%29%2F%2812%29 ALIGN=MIDDLE  ALT=\"x+=+%2819+%2B-+11%29%2F%2812%29\"   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+=+%2819+%2B+11%29%2F%2812%29+ ALIGN=MIDDLE  ALT=\"x+=+%2819+%2B+11%29%2F%2812%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%2819+-+11%29%2F%2812%29 ALIGN=MIDDLE  ALT=\"+x+=+%2819+-+11%29%2F%2812%29\"   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+=+%2830%29%2F%2812%29+ ALIGN=MIDDLE  ALT=\"x+=+%2830%29%2F%2812%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%288%29%2F%2812%29 ALIGN=MIDDLE  ALT=\"+x+=+%288%29%2F%2812%29\"   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+=+5%2F2+ ALIGN=MIDDLE  ALT=\"x+=+5%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+2%2F3 ALIGN=MIDDLE  ALT=\"+x+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From here we need to check each possible solution.<BR>\n" );
document.write( "I'll let the student do this part. Plug each x value one at a time into the original equation. Simplify both sides.<BR>\n" );
document.write( "You should find that both x values work.<BR>\n" );
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