document.write( "Question 133316: Use logs ( any base) to find the unknown:\r
\n" );
document.write( "\n" );
document.write( "3 to the power of x^2 minus 2x = 3 to the power of x-2 ( there are two answers please find both) \n" );
document.write( "
Algebra.Com's Answer #97502 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 3 to the power of x^2 minus 2x = 3 to the power of x-2 \n" ); document.write( "----------------- \n" ); document.write( "3^(x^2-2x) = 3^(x-2) \n" ); document.write( "---------------------- \n" ); document.write( "Take the log(base3) of both sides to get: \n" ); document.write( "x^2-2x = x-2 \n" ); document.write( "x^2-3x+2 = 0 \n" ); document.write( "(x-2)(x-1) = 0 \n" ); document.write( "x = 2 or x=1 \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |