document.write( "Question 80047: Solve this equation.
\n" ); document.write( "1/32=2^1-x \n" ); document.write( "

Algebra.Com's Answer #57478 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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1/32=2^1-x
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\n" ); document.write( "If you remember the powers of 2, you can look at this: 2^-5 = 1/32
\n" ); document.write( "Therefore x = 6; however they may want you to use logs to solve it
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\n" ); document.write( " $\"2%5E%281-x%29\"$ = $\"1%2F32\"$
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\n" ); document.write( " $\"ln%282%5E%281-x%29%29\"$ = $\"ln%281%2F32%29\"$ ; nat log of both sides
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\n" ); document.write( "(1-x)*ln(2) = $\"ln%281%2F32%29\"$ ; log equiv of exponents
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\n" ); document.write( ".693147(1-x) = -3.4657
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\n" ); document.write( ".69347 - .69347x = -3.4657
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\n" ); document.write( "-.69347x = -3.4657 - .69347
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\n" ); document.write( "-.69347x = -4.1592
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\n" ); document.write( "x = -4.1592/-.69347
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\n" ); document.write( "x = +5.9976 ~ 6
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\n" ); document.write( "Check: 2^(1-6) = 2^-5 = 1/2^5 which is 1/32
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