document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250331>Question 250331</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "How would I do the following:\r<BR>\n" );
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document.write( "1.  Express as a single logarithm and if possible, simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Loga+++x%5E3-2++loga+sqrt%5E3+x ALIGN=MIDDLE  ALT=\"Loga+++x%5E3-2++loga+sqrt%5E3+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.  Choose the expression or equation that is equivalent to the one given<BR>\n" );
document.write( "Logx  29=5\r<BR>\n" );
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document.write( "a.	29^x=5<BR>\n" );
document.write( "b.	X^29=5<BR>\n" );
document.write( "c.	5^x=29<BR>\n" );
document.write( "d.	X^5=29<BR>\n" );
document.write( " My answer is \"d\" is that right?\r<BR>\n" );
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document.write( "3.  Express as a sum, difference, and product of logarithms, without using exponents. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Log2+x%5E5+y%5E8%2F4 ALIGN=MIDDLE  ALT=\"Log2+x%5E5+y%5E8%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I am really lost, this is part of a test, and I can to figure them out, can you please help me.\r<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 #185131 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=185131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's take this part by part:<BR>\n" );
document.write( "1. Express as a single logarithm and if possible, simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Log_a%28x%5E3%29+-+2log_a%28sqrt%283x%29%29 ALIGN=MIDDLE  ALT=\"Log_a%28x%5E3%29+-+2log_a%28sqrt%283x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Step 1 - use the power rule and bring the 2 up to the exponent:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Log_a%28x%5E3%29+-+%28log_a%28sqrt%283x%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"Log_a%28x%5E3%29+-+%28log_a%28sqrt%283x%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 2 - rewrite the square root a 1/2 power and cancel with the 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Log_a%28x%5E3%29+-+log_a%283x%29 ALIGN=MIDDLE  ALT=\"Log_a%28x%5E3%29+-+log_a%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 3 - since the bases are the same and we are subtracting, we can combine and make this division as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Log_a%28x%5E3%2F3x%29 ALIGN=MIDDLE  ALT=\"Log_a%28x%5E3%2F3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 4 - we can reduce by x; assuming x is not 0 as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Log_a%28x%5E2%2F3%29 ALIGN=MIDDLE  ALT=\"Log_a%28x%5E2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "2. Choose the expression or equation that is equivalent to the one given<BR>\n" );
document.write( "Log_x(29) = 5<BR>\n" );
document.write( "a. 29^x=5<BR>\n" );
document.write( "b. X^29=5<BR>\n" );
document.write( "c. 5^x=29<BR>\n" );
document.write( "d. X^5=29<BR>\n" );
document.write( "My answer is \"d\" is that right?<BR>\n" );
document.write( "[D] is correct.<BR>\n" );
document.write( "--<BR>\n" );
document.write( "3. Express as a sum, difference, and product of logarithms, without using exponents: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Log%282x%29%5E%285y%5E8%29%29 ALIGN=MIDDLE  ALT=\"%28Log%282x%29%5E%285y%5E8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 1 - since 5y^8 is the big exponent, that comes out front using power rule<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285y%5E8%29%2Alog%282x%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28%285y%5E8%29%2Alog%282x%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 2 - since we are multiplying 2 and x, we can split it using addition as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285y%5E8%29%2F4%29%2A%28log%282%29+%2B+log%28a%29%29 ALIGN=MIDDLE  ALT=\"%28%285y%5E8%29%2F4%29%2A%28log%282%29+%2B+log%28a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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