document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=563705>Question 563705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with this.  I can't understand the way my teacher is trying to explain.\r<BR>\n" );
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document.write( "Let \"b\" be a number such that log(b)3 = 1.5 and log(b)5=2.2<BR>\n" );
document.write( "evaluate the following:\r<BR>\n" );
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document.write( "1.  log (b)15<BR>\n" );
document.write( "2.  log (b).6<BR>\n" );
document.write( "3.  log (b)125<BR>\n" );
document.write( "4.  log (b)(^3sqrt(3))^7\r<BR>\n" );
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document.write( "Thank you so much for your help  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364989 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=364989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let \"b\" be a number such that log(b)3 = 1.5 and log(b)5=2.2<BR>\n" );
document.write( "evaluate the following:\r<BR>\n" );
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document.write( "1.  log (b)15<BR>\n" );
document.write( "15 = 3*5<BR>\n" );
document.write( "Multiplying --> adding the logs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C15%29+=+log%28b%2C3%29+%2B+log%28b%2C5%29+=+3.7 ALIGN=MIDDLE  ALT=\"log%28b%2C15%29+=+log%28b%2C3%29+%2B+log%28b%2C5%29+=+3.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "2.  log (b).6<BR>\n" );
document.write( "0.6 = 3/5<BR>\n" );
document.write( "Subtract logs when dividing<BR>\n" );
document.write( "= log(3) - log(5) = -0.7<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "3.  log (b)125<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125+=+5%5E3 ALIGN=MIDDLE  ALT=\"125+=+5%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= 5*5*5<BR>\n" );
document.write( "log(125) = log(5) + log(5) + log(5)<BR>\n" );
document.write( "= 3*log(5)<BR>\n" );
document.write( "Multiply the log by the exponent when raising to a power.<BR>\n" );
document.write( "= 6.6<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "4.  log (b)(^3sqrt(3))^7<BR>\n" );
document.write( "If you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28root%283%2C3%29%5E7%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28root%283%2C3%29%5E7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2Alog%28b%2C%28root%283%2C3%29%29%29 ALIGN=MIDDLE  ALT=\"7%2Alog%28b%2C%28root%283%2C3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Multiply by the exponent\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C3%29+=+3%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"root%283%2C3%29+=+3%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%5E%281%2F3%29%29+=+%281%2F3%29%2Alog%283%29+=+0.5 ALIGN=MIDDLE  ALT=\"log%283%5E%281%2F3%29%29+=+%281%2F3%29%2Alog%283%29+=+0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the log by the exponent<BR>\n" );
document.write( "--> 7*0.5 = 3.5\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );