10^1.8=0.74/X^4

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Solution for 10^1.8=0.74/X^4 equation: 


D( X )

X^4 = 0

X^4 = 0

X^4 = 0

1*X^4 = 0 // : 1

X^4 = 0

X = 0

X in (-oo:0) U (0:+oo)

10^1.8 = 0.74/(X^4) // - 0.74/(X^4)

10^1.8-(0.74/(X^4)) = 0

10^1.8-0.74*X^-4 = 0

-0.74*X^-4 = -10^1.8 // : -0.74

X^-4 = 1.35135135*10^1.8

-4 < 0

1/(X^4) = 1.35135135*10^1.8 // * X^4

1 = 1.35135135*10^1.8*X^4 // : 1.35135135*10^1.8

0.74*10^-1.8 = X^4

X^4 = 0.74*10^-1.8 // ^ 1/4

abs(X) = 0.74^(1/4)*10^-0.45

X = 0.74^(1/4)*10^-0.45 or X = -(0.74^(1/4)*10^-0.45)

X in { 0.74^(1/4)*10^-0.45, -(0.74^(1/4)*10^-0.45) }

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