document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198695>Question 1198695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Aplique a propriedade do logaritmo \r<BR>\n" );
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document.write( "Log2 (4x2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832328 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=832328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Method 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%284x%5E2%29%29+=+log%282%2C%284%29%29%2Blog%282%2C%28x%5E2%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%284x%5E2%29%29+=+log%282%2C%284%29%29%2Blog%282%2C%28x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use log rule log(A*B) = log(A)+log(B)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%284x%5E2%29%29+=+log%282%2C%282%5E2%29%29%2Blog%282%2C%28x%5E2%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%284x%5E2%29%29+=+log%282%2C%282%5E2%29%29%2Blog%282%2C%28x%5E2%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=log%282%2C%284x%5E2%29%29+=+2%2Alog%282%2C%282%29%29%2B2%2Alog%282%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%284x%5E2%29%29+=+2%2Alog%282%2C%282%29%29%2B2%2Alog%282%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > use rule log(A^B) = B*log(A)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%284x%5E2%29%29+=+2%2A1%2B2%2Alog%282%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%284x%5E2%29%29+=+2%2A1%2B2%2Alog%282%2C%28x%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=log%282%2C%284x%5E2%29%29+=+2%2B2%2Alog%282%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%284x%5E2%29%29+=+2%2B2%2Alog%282%2C%28x%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=log%282%2C%284x%5E2%29%29+=+2%281%2Blog%282%2C%28x%29%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%284x%5E2%29%29+=+2%281%2Blog%282%2C%28x%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Method 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%284x%5E2%29%29+=+log%282%2C%28%282x%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%284x%5E2%29%29+=+log%282%2C%28%282x%29%5E2%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=log%282%2C%284x%5E2%29%29+=+2%2Alog%282%2C%282x%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%284x%5E2%29%29+=+2%2Alog%282%2C%282x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use rule log(A^B) = B*log(A)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%284x%5E2%29%29+=+2%2A%28log%282%2C%282%29%29%2Blog%282%2C%28x%29%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%284x%5E2%29%29+=+2%2A%28log%282%2C%282%29%29%2Blog%282%2C%28x%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use log rule log(A*B) = log(A)+log(B)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%284x%5E2%29%29+=+2%2A%281%2Blog%282%2C%28x%29%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%284x%5E2%29%29+=+2%2A%281%2Blog%282%2C%28x%29%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=log%282%2C%284x%5E2%29%29+=+2%2B2%2Alog%282%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%284x%5E2%29%29+=+2%2B2%2Alog%282%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'll leave it up to you whether you want it factored or not.\r<BR>\n" );
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document.write( "You can use a graphing tool like Desmos or GeoGebra to visually confirm the answer.\r<BR>\n" );
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document.write( "Keep in mind that the domain of the right-hand-side is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3E+0+ ALIGN=MIDDLE  ALT=\"+x+%3E+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that the output is a real number.<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+0 ALIGN=MIDDLE  ALT=\"x+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the right-hand-side result is some complex number in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bbi ALIGN=MIDDLE  ALT=\"a%2Bbi\"   DISABLED_style= \"max-width:90%; height:auto;\" > such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i+=+sqrt%28-1%29 ALIGN=MIDDLE  ALT=\"i+=+sqrt%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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