document.write( "Question 701470: Without using a calculator, solve for x:\r
\n" ); document.write( "\n" ); document.write( "a) 8^x = 1/ sqrt( 2 )\r
\n" ); document.write( "\n" ); document.write( "b) 4^2x+1 = (1/2)^2-x \n" ); document.write( "
Algebra.Com's Answer #432504 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Without using a calculator, solve for x:
\n" ); document.write( "a) \"8%5Ex+=+1%2Fsqrt%282%29\"
\n" ); document.write( "Write the square root as an exponent
\n" ); document.write( "\"8%5Ex+=+1%2F2%5E%281%2F2%29\"
\n" ); document.write( "CAn also be written
\n" ); document.write( "\"8%5Ex+=+2%5E%28-1%2F2%29\"
\n" ); document.write( "8 can be written as 2^3
\n" ); document.write( "\"2%5E%283x%29+=+2%5E%28-1%2F2%29\"
\n" ); document.write( "therefore
\n" ); document.write( "3x = \"-1%2F2\"
\n" ); document.write( "x = \"-1%2F2\"*\"1%2F3\"
\n" ); document.write( "x = \"-1%2F6\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b) \"4%5E%28%282x%2B1%29%29+=+%281%2F2%29%5E%28%282-x%29%29\"
\n" ); document.write( "we can rewrite this to
\n" ); document.write( "\"2%5E%282%282x%2B1%29%29+=+2%5E%28-%282-x%29%29\"
\n" ); document.write( "\"2%5E%28%284x%2B2%29%29+=+2%5E%28%28x-2%29%29\"
\n" ); document.write( "therefore
\n" ); document.write( "4x + 2 = x - 2
\n" ); document.write( "4x - x = -2 - 2
\n" ); document.write( "3x = -4
\n" ); document.write( "x = \"-4%2F3\"
\n" ); document.write( " \n" ); document.write( "
\n" );