document.write( "Question 1163251: Pls help me. Given that logx^256=2 find log8^(1over x) Thanks \n" ); document.write( "
Algebra.Com's Answer #787275 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
i understand this problem as:\r
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\n" ); document.write( "\n" ); document.write( "given that log(x^256) = 2, find log(8^(1/x))\r
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\n" ); document.write( "\n" ); document.write( "start with 2 = log(x^256)
\n" ); document.write( "this is true if and only if:
\n" ); document.write( "10^2 = x^256
\n" ); document.write( "take the 256th root of both sides of this equation to get:
\n" ); document.write( "(10^2)^(1/256) = (x^256)^(1/256)
\n" ); document.write( "solve this equation for x to get:
\n" ); document.write( "x = (10^2)^(1/256) = 1.018151722\r
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\n" ); document.write( "\n" ); document.write( "you now want to find log(8^(1/x))
\n" ); document.write( "set y = that to get:
\n" ); document.write( "y = log(8^(1/x))
\n" ); document.write( "since x = 1.018151722, that becomes:
\n" ); document.write( "y = log(8^(1/1.018151722)
\n" ); document.write( "solve for y to get:
\n" ); document.write( "y = .8869895986\r
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\n" ); document.write( "\n" ); document.write( "that should be your solution, if i understood the problem correctly.\r
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