document.write( "Question 129366: Please help me solve for x:
\n" ); document.write( "a) 5x(^1/2)=20
\n" ); document.write( "b) 8x^-3=64
\n" ); document.write( "c) 8(x-2)^3=27
\n" ); document.write( "d) (x+3)^sqrt2=25^sqrt8
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Algebra.Com's Answer #94505 by edjones(8007)\"\" \"About 
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a)
\n" ); document.write( "5x^(1/2)=20
\n" ); document.write( "x^(1/2)=20/5
\n" ); document.write( "x^(1/2)=4
\n" ); document.write( "x=16 square each side.
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\n" ); document.write( "b)
\n" ); document.write( "8x^-3=64
\n" ); document.write( "1/x^3=64/8
\n" ); document.write( "1/x^3=8
\n" ); document.write( "8x^3=1 multiply each side by x^3
\n" ); document.write( "x^3=1/8
\n" ); document.write( "x=1/2 take cube root of each side.
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\n" ); document.write( "c)
\n" ); document.write( "8(x-2)^3=27
\n" ); document.write( "2(x-2)=3
\n" ); document.write( "2x-4=3
\n" ); document.write( "2x=7
\n" ); document.write( "x=7/2=3.5
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\n" ); document.write( "d)
\n" ); document.write( "(x+3)^sqrt(2)=25^sqrt(8)
\n" ); document.write( "((x+3)^sqrt2)^sqrt(2)=(25^2sqrt(2))^sqrt(2) Make both sides to the sqrt(2) power.
\n" ); document.write( "(x+3)^2=25^4
\n" ); document.write( "x+3=25^2 take the sqrt of each side.
\n" ); document.write( "x=625-3
\n" ); document.write( "x=622
\n" ); document.write( ".
\n" ); document.write( "Ed
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