You can put this solution on YOUR website! a)
5x^(1/2)=20
x^(1/2)=20/5
x^(1/2)=4
x=16 square each side.
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b)
8x^-3=64
1/x^3=64/8
1/x^3=8
8x^3=1 multiply each side by x^3
x^3=1/8
x=1/2 take cube root of each side.
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c)
8(x-2)^3=27
2(x-2)=3
2x-4=3
2x=7
x=7/2=3.5
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d)
(x+3)^sqrt(2)=25^sqrt(8)
((x+3)^sqrt2)^sqrt(2)=(25^2sqrt(2))^sqrt(2) Make both sides to the sqrt(2) power.
(x+3)^2=25^4
x+3=25^2 take the sqrt of each side.
x=625-3
x=622
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Ed