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??
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Algebra.Com's Answer #46681 by uma(370)\"\" \"About 
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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
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\n" ); document.write( "\n" ); document.write( "Good Luck!!!
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