document.write( "Question 924212: Can you help me with this please?\r
\n" ); document.write( "\n" ); document.write( "-evaluate without calculator\r
\n" ); document.write( "\n" ); document.write( "the square root of 2 ^x+4 = 4^x \n" ); document.write( "
Algebra.Com's Answer #560702 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
2^x+4 = 4^x
\n" ); document.write( "
\r\n" );
document.write( "If you meant\r\n" );
document.write( "\r\n" );
document.write( "2^(x+4) = 4^x\r\n" );
document.write( "\r\n" );
document.write( "which means \r\n" );
document.write( "\r\n" );
document.write( "\"2%5E%28x%2B4%29+=+4%5Ex\"\r\n" );
document.write( "\r\n" );
document.write( "\"2%5E%28x%2B4%29+=+%282%5E2%29%5Ex\"\r\n" );
document.write( "\r\n" );
document.write( "\"2%5E%28x%2B4%29+=+2%5E%282x%29\"\r\n" );
document.write( "\r\n" );
document.write( "Since the bases are positive, equal, and not 1,\r\n" );
document.write( "the exponts are alse equal:\r\n" );
document.write( "\r\n" );
document.write( "\"x%2B4=2x\"\r\n" );
document.write( "\r\n" );
document.write( "\"4=x\"\r\n" );
document.write( "\r\n" );
document.write( "-----------------------------\r\n" );
document.write( "\r\n" );
document.write( "That's probably what you meant.  But when you don't enclose\r\n" );
document.write( "the exponent inside of parentheses like this\r\n" );
document.write( "\r\n" );
document.write( "2^(x+4) = 4^x\r\n" );
document.write( "\r\n" );
document.write( "then what you wrote\r\n" );
document.write( "

\n" ); document.write( "2^x+4 = 4^x
\n" ); document.write( "
\r\n" );
document.write( "means this:\r\n" );
document.write( "\r\n" );
document.write( "\"2%5Ex%2B4+=+4%5Ex\"\r\n" );
document.write( "\r\n" );
document.write( "\"2%5Ex%2B4+=+%282%5E2%29%5Ex\"\r\n" );
document.write( "\r\n" );
document.write( "\"2%5Ex%2B4+=+2%5E%282x%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"2%5Ex%2B4+=+2%5E%28x%2A2%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"2%5Ex%2B4+=+%282%5Ex%29%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "\"%282%5Ex%29%5E2-2%5Ex-4=0\"\r\n" );
document.write( "\r\n" );
document.write( "Then we'd have to use the quadratic formula and \r\n" );
document.write( "solve by taking logs and the answer is this complicated\r\n" );
document.write( "expression:\r\n" );
document.write( "\r\n" );
document.write( "\"x+=+%28ln%281%2Bsqrt%2817%29%29-ln%282%29%29%2F%28ln%282%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "When typing mathematical expressions and equations, you must\r\n" );
document.write( "enclose numerators, denominators and exponents in parentheses\r\n" );
document.write( "except when they contain only one number or only one letter\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );