document.write( "Question 1054651: If 4^(x-1)=9, find the values of 2^x and 8^-x \n" ); document.write( "
Algebra.Com's Answer #669838 by ikleyn(52791)\"\" \"About 
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\n" ); document.write( "If 4^(x-1)=9, find the values of 2^x and 8^-x
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document.write( "If \"4%5E%28x-1%29\" = 9,  then  \"%281%2F4%29%2A4%5Ex\" = 9.\r\n" );
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document.write( "Then \"4%5Ex\" = 36,  or  \"2%5E%282x%29\" = 36,   or  \"%282%5Ex%29%5E2\" = 36.\r\n" );
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document.write( "Then \"2%5Ex\" = \"sqrt%2836%29\"  and,  hence,  \"2%5Ex%29\" = 6.\r\n" );
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document.write( "Having this, we can write \"8%5E%28-x%29\" = \"2%5E%28-3x%29\" = \"%282%5Ex%29%5E%28-3%29\" = \"6%5E%28-3%29\" = \"1%2F216\".\r\n" );
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