What is the answer to 85300=50370(1+X)^{1.16} ?

The answer to 85300=50370(1+X)^{1.16} is X=(8530/5037)^{25/29}-1

Solve for X: 85300=50370(1+X)^{1.16}

The solution is X=(8530/5037)^{25/29}-1

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85300 = 50370 (1 + X)^{1.16}

X = (\frac{8530}{5037})^{\frac{25}{29}} - 1

Decimal Notation

X = 0.57478 \dots

Solution steps

85300 = 50370 (1 + X)^{1.16}

Switch sides

50370 (1 + X)^{1.16} = 85300

Divide both sides by

50370

(1 + X)^{1.16} = \frac{8530}{5037}

Take both sides of the equation to the power of

\frac{25}{29} : (1 + X) = (\frac{8530}{5037})^{\frac{25}{29}}

(1 + X) = (\frac{8530}{5037})^{\frac{25}{29}}

Solve

(1 + X) = (\frac{8530}{5037})^{\frac{25}{29}} : X = (\frac{8530}{5037})^{\frac{25}{29}} - 1

X = (\frac{8530}{5037})^{\frac{25}{29}} - 1

Verify Solutions:

X = (\frac{8530}{5037})^{\frac{25}{29}} - 1

True

The solution is

X = (\frac{8530}{5037})^{\frac{25}{29}} - 1

x + x - 2 = 2

x + 11 - x = 5

4 x - 1 = 80

3 x + 1 - x = - 1

5 - x + 3 = x

What is the answer to 85300=50370(1+X)^{1.16} ?
The answer to 85300=50370(1+X)^{1.16} is X=(8530/5037)^{25/29}-1
Solve for X: 85300=50370(1+X)^{1.16}
The solution is X=(8530/5037)^{25/29}-1