document.write( "Question 375800: 3 exponent3x = 4 x 10 exponent x, find x
\n" ); document.write( "8 exponent3x/24=2730/2( exponent3x-2 ), find x
\n" ); document.write( "

Algebra.Com's Answer #267313 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Use the caret to signify an exponent. 3^(3x)=\"3%5E%283x%29\"
\n" ); document.write( "\"3%5E%283x%29=4%2A10%5E%28x%29\"
\n" ); document.write( "\"log%283%2C%283%5E%283x%29%29%29=log%283%2C%284%2A10%5E%28x%29%29%29\"
\n" ); document.write( "\"3x=log%283%2C%284%29%29%2Blog%283%2C%2810%5E%28x%29%29%29\"
\n" ); document.write( "\"3x=log%283%2C%284%29%29%2Bx%2Alog%283%2C%2810%29%29\"
\n" ); document.write( "\"3x-x%2Alog%283%2C%2810%29%29=log%283%2C%284%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%283-log%283%2C%2810%29%29%29=log%283%2C%284%29%29\"
\n" ); document.write( "\"highlight%28x=log%283%2C%284%29%29%2F%283-log%283%2C%2810%29%29%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=log%2810%2C%284%29%29%2F%283%2Alog%2810%2C3%29-log%2810%2C%2810%29%29%29\"
\n" ); document.write( "\"x=log%2810%2C%284%29%29%2F%283%2Alog%2810%2C3%29-1%29%29\"
\n" ); document.write( "or approximately,
\n" ); document.write( "\"x=1.3957\"
\n" ); document.write( "
\n" ); document.write( "
\n" );