document.write( "Question 65918: solve for x: 2^(x+2) + 2^x =160\r
\n" );
document.write( "\n" );
document.write( "im not sure what to do, can someone help me?? \n" );
document.write( "
Algebra.Com's Answer #46681 by uma(370) ![]() You can put this solution on YOUR website! Given that 2^(x+2) + 2^x = 160\r \n" ); document.write( "\n" ); document.write( "==> (2^x)*(2^2) + 2^x = 160 [ as x^(a + b) = x^a * x^b]\r \n" ); document.write( "\n" ); document.write( "==> 2^x (2^2 + 1) = 160 [removing 2^x as common factor]\r \n" ); document.write( "\n" ); document.write( "==> 2^x (4 + 1) = 160\r \n" ); document.write( "\n" ); document.write( "==> 2^x(5) = 160\r \n" ); document.write( "\n" ); document.write( "==> 2^x = 160/5 [dividing by 5 throughout] \n" ); document.write( "==> 2^x = 32 \n" ); document.write( "==> 2^x = 2^5 [as 32 = 2^5]\r \n" ); document.write( "\n" ); document.write( "as the bases are the same we equate the exponents.\r \n" ); document.write( "\n" ); document.write( "==> x = 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good Luck!!! \n" ); document.write( " |