What is the answer to 5=10(0.55)^{0.2}K^{0.4} ?

The answer to 5=10(0.55)^{0.2}K^{0.4} is K=(sqrt(5))/(2sqrt(22)),K=-(sqrt(5))/(2sqrt(22))

Solve for K: 5=10(0.55)^{0.2}K^{0.4}

The solution is K=(sqrt(5))/(2sqrt(22)),K=-(sqrt(5))/(2sqrt(22))

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5 = 10 (0.55)^{0.2} K^{0.4}

K = \frac{5}{2 22}, K = - \frac{5}{2 22}

Decimal Notation

K = 0.23836 \dots, K = - 0.23836 \dots

Solution steps

5 = 10 (0.55)^{0.2} K^{0.4}

Switch sides

10 \cdot 0.5 5^{0.2} K^{0.4} = 5

Divide both sides by

10 \cdot 0.5 5^{0.2}

K^{0.4} = \frac{1}{2 \cdot 0.5 5 ^{0.2}}

Take both sides of the equation to the power of

5 : K^{2} = \frac{1}{17.6}

K^{2} = \frac{1}{17.6}

Solve

K^{2} = \frac{1}{17.6} : K = \frac{5}{2 22}, K = - \frac{5}{2 22}

K = \frac{5}{2 22}, K = - \frac{5}{2 22}

Verify Solutions:

K = \frac{5}{2 22}

True

, K = - \frac{5}{2 22}

True

The solutions are

K = \frac{5}{2 22}, K = - \frac{5}{2 22}

3 = 3 x^{3} + 2 x^{2} + 3 x + 1

2 x + 1 + x - 1 = 1

2 = x^{\frac{5}{3}}

x^{2} + 3 x - x^{2} + 3 x - 1 - 7 = 0

x + 10 + x + 19 = - 1

What is the answer to 5=10(0.55)^{0.2}K^{0.4} ?
The answer to 5=10(0.55)^{0.2}K^{0.4} is K=(sqrt(5))/(2sqrt(22)),K=-(sqrt(5))/(2sqrt(22))
Solve for K: 5=10(0.55)^{0.2}K^{0.4}
The solution is K=(sqrt(5))/(2sqrt(22)),K=-(sqrt(5))/(2sqrt(22))