document.write( "Question 1103714: Find the range and domain of the following logarithmic function: log_(2) sqrt(2x-3) \n" ); document.write( "
Algebra.Com's Answer #718405 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Find the range and domain of the following logarithmic function:
\n" ); document.write( "\"log%282%2Csqrt%282x-3%29%29\"
\n" ); document.write( "
\r\n" );
document.write( "We can only take logarithms of positive numbers, therefore\r\n" );
document.write( "\r\n" );
document.write( "2x-3 must be positive, or\r\n" );
document.write( "\r\n" );
document.write( "2x-3 > 0\r\n" );
document.write( "  2x > 3\r\n" );
document.write( "   x > \"3%2F2\"\r\n" );
document.write( "\r\n" );
document.write( "So the domain is \"%28matrix%281%2C3%2C3%2F2%2C%22%2C%22%2Cinfinity%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Since \"sqrt%282x-3%29\" takes on all positive values,\r\n" );
document.write( "the range is \"%28matrix%281%2C3%2C-infinity%2C%22%2C%22%2Cinfinity%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );