document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166818>Question 1166818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve this equation. Please be sure to use the Change of Base Formula.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+-+3%5Ex+=+-40 ALIGN=MIDDLE  ALT=\"5+-+3%5Ex+=+-40\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #791393 by </B><A HREF=/tutors/aboutme.mpl?userid=750033275><B>750033275(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=750033275><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/cgi-bin/show-face.mpl?user=750033275><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=791393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As I solved this one on my own first, I got a non-real answer of 3.2362+2.8596<I>i</I>. Then, I notated down: \"(Unless otherwise sign change to «log (3, 35)» ➡ ≈ 3.2362 (but without the “imaginary” solution add-in))\".<BR>\n" );
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document.write( "I am really having a very rough time trying to know what that means, but if only I could recall on an example problem in my notes, recording the exact same steps to solve the equation more properly...<BR>\n" );
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document.write( "As of according to my TI-84 Plus calculator, in \"Real\" Mode, negative logarithms are not possible as a solution, because they are not real numbers, which is probably the same thing as \"√-x\", which is undefined!<BR>\n" );
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document.write( "So, the issue here is that I have no idea what \"trials\" I was recently told about or why did I stop them... Perhaps, I don't think I get the whole point!...if that's what my recent tutor was trying to say.<BR>\n" );
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document.write( "Thus, I was rather going to put in \"no solution\" or \"Error\" as the answer as it follows: \"ERR: Nonreal Answer\". To be honest, I have no idea what this is all about here, trying to solve equations relative to logarithms. I'm sure I have what I needed, but it just...doesn't feel right to me!... I wonder why...<BR>\n" );
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document.write( "Man, Pearson-Prentice Hall has some weird references going on in their interactive worksheets, I'll tell you what... And I have never heard of what to do next in my life regarding this topic. If they were trying to pull a joke on me, I will SO not be laughing... 😠<BR>\n" );
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document.write( "Anyhow, I wish I could explain how to do this question more properly, but it seems to me like I haven't understood one bit of this equation, and what do I come in here for to actually deserve this kind of \"undesired punishment?\" ...Never mind, actually. This might be something I can't tell anyone...<BR>\n" );
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document.write( "So, what was I supposed to do? Trying to put in \"-log (45)\" as a replacement for \"log (-45)\"? I don't know what else to say, but this is probably not the correct answer! Face it, I'm running ALL OUT of ideas!!! 😓💭<BR>\n" );
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document.write( "<I>Wait!</I> I think I can do this... 😤 😮 😯 <BR>\n" );
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document.write( "First, I subtract 5 from both sides of this equation, to get -40 - 5 = -45.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%5Ex+=+-45 ALIGN=MIDDLE  ALT=\"-3%5Ex+=+-45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then, I should check to see if <I>both</I> sides are in the same integer—negative!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%283%5Ex%29+=+-%2845%29 ALIGN=MIDDLE  ALT=\"-%283%5Ex%29+=+-%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Next, I was going to use the Change of Base Formula, but I've got a better idea!...<BR>\n" );
document.write( "I should now turn -3^<I>x</I>=-45 into its logarithmic form.<BR>\n" );
document.write( "The negative sign should be on the <B><I>outside</I></B> of the expression.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28log+%283%2C+45%29%29 ALIGN=MIDDLE  ALT=\"-%28log+%283%2C+45%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "I should now have an approximate solution of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%283.465%29 ALIGN=MIDDLE  ALT=\"-%283.465%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "This is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3.465 ALIGN=MIDDLE  ALT=\"-3.465\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but without the parenthesizing.<BR>\n" );
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document.write( "Using my calculator, <I>x</I> will give me approximately -3.465 as my final answer.<BR>\n" );
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document.write( "<B><I>For your information, just in case if I forgot the steps on another problem like this one, I may come back to this solution at any time, unless if my recent tutor will check if I am either right or wrong.</I></B> </SPAN>\n" );
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