document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193234>Question 1193234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given log 7=0.8451 and log 2 =0.3010, find the value of log 28.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825229 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you are given:<BR>\n" );
document.write( "log(7) = .8451<BR>\n" );
document.write( "log(2) = .3010<BR>\n" );
document.write( "you want to find the log of (28).<BR>\n" );
document.write( "since 28 = 7 * 2 * 2, then you want to find the log of (7 * 2 * 2)<BR>\n" );
document.write( "by the log rules, log(7 * 2 * 2) = log(7) + log(2) + log(2) = .8451 + .3010 + .3010 = 1.4471.<BR>\n" );
document.write( "your solution is that log(28) = 1.4471.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to confirm, i dig the following:<BR>\n" );
document.write( "the values given to you are rounded to 4 decimal places.<BR>\n" );
document.write( "use your calculator find the more detailed numbers.<BR>\n" );
document.write( "log(7) = .84509804...<BR>\n" );
document.write( "log(2) = .3010299957...<BR>\n" );
document.write( "you get log(7) + log(2) + log(2) = 1.447158031, using the values for log(7) and log(2) stored in the calculator.<BR>\n" );
document.write( "using you calculator, you get log(28) = 1.447158031.<BR>\n" );
document.write( "that's the same as log(7) + log(2) + log(2), confirming the procedure is correct.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the procedure was:<BR>\n" );
document.write( "log(a * b * b) = log(a) + log(b) + log(b)<BR>\n" );
document.write( "when a is 7 and b is 2, this becomes log(7) + log(2) + log(2) is equal to log(7 * 2 * 2) which is equal to log(28).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "bottom line:<BR>\n" );
document.write( "log(28) = log(7 * 2 * 2) = log(7) + log(2) + log(2) = .8451 + .3010 + .3010 = 1.4471.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here is a reference on the rules of logarithm arithmetic.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.chilimath.com/lessons/advanced-algebra/logarithm-rules/\" target = \"_blank\">https://www.chilimath.com/lessons/advanced-algebra/logarithm-rules/</a> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );