What is the answer to 5=10(0.38)^{0.2}K^{0.4} ?

The answer to 5=10(0.38)^{0.2}K^{0.4} is K= 5/(4sqrt(19)),K=-5/(4sqrt(19))

Solve for K: 5=10(0.38)^{0.2}K^{0.4}

The solution is K= 5/(4sqrt(19)),K=-5/(4sqrt(19))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 = 10 (0.38)^{0.2} K^{0.4}

K = \frac{5}{4 19}, K = - \frac{5}{4 19}

Decimal Notation

K = 0.28676 \dots, K = - 0.28676 \dots

Solution steps

5 = 10 (0.38)^{0.2} K^{0.4}

Switch sides

10 \cdot 0.3 8^{0.2} K^{0.4} = 5

Divide both sides by

10 \cdot 0.3 8^{0.2}

K^{0.4} = \frac{1}{2 \cdot 0.3 8 ^{0.2}}

Take both sides of the equation to the power of

5 : K^{2} = \frac{1}{12.16}

K^{2} = \frac{1}{12.16}

Solve

K^{2} = \frac{1}{12.16} : K = \frac{5}{4 19}, K = - \frac{5}{4 19}

K = \frac{5}{4 19}, K = - \frac{5}{4 19}

Verify Solutions:

K = \frac{5}{4 19}

True

, K = - \frac{5}{4 19}

True

The solutions are

K = \frac{5}{4 19}, K = - \frac{5}{4 19}

x - 5 - 16 x = 0

(\frac{x}{1 - x})^{0.88} = 0.536

x - 1 - 3 x = 1

\frac{p + 2}{6} = - p

- x = - 12

What is the answer to 5=10(0.38)^{0.2}K^{0.4} ?
The answer to 5=10(0.38)^{0.2}K^{0.4} is K= 5/(4sqrt(19)),K=-5/(4sqrt(19))
Solve for K: 5=10(0.38)^{0.2}K^{0.4}
The solution is K= 5/(4sqrt(19)),K=-5/(4sqrt(19))