document.write( "Question 934574: 9ln(3x)=21 \n" ); document.write( "
Algebra.Com's Answer #567566 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! Given; \n" ); document.write( "(1) 9ln(3x) = 21 \n" ); document.write( "Divide through by 9 and get \n" ); document.write( "(2) ln(3x) = 21/9 \n" ); document.write( "Now take the inverse ln of each side to get \n" ); document.write( "(3) 3x = invln(21/9) or \n" ); document.write( "(4) 3x = 10.312258... and \n" ); document.write( "(5) x = 3.437419... \n" ); document.write( "We can express the answer exactly in terms of e, as follows; \n" ); document.write( "Using (2), we have \n" ); document.write( "(6) ln(3x) = 7/3 or \n" ); document.write( "(7) 3x = invln(7/3) or \n" ); document.write( "(8) 3x = e^(7/3) or \n" ); document.write( "(9) x = (1/3)e^(7/3) \n" ); document.write( " |