document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196795>Question 196795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for each pair of equations, solve one of them by taking logs of both sides. Solve the other by expressing both sides as a power of the same number.<BR>\n" );
document.write( "A. 9^x = 4<BR>\n" );
document.write( "B. 9^x = 3/3^x </SPAN>\n" );
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document.write( "A. 9^x = 4<BR>\n" );
document.write( "Taking the log of both sides you get:<BR>\n" );
document.write( "x*log(9) = log(4)<BR>\n" );
document.write( "x = [log(4)]/[log(9)]<BR>\n" );
document.write( "x = 0.6309....<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "B. 9^x = 3/3^x<BR>\n" );
document.write( "Converting both sides to powers of 3 you get:<BR>\n" );
document.write( "3^(2x) = 3^(1-x)<BR>\n" );
document.write( "Then 2x = 1-x<BR>\n" );
document.write( "3x = 1<BR>\n" );
document.write( "x = 1/3<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );