What is the answer to 0.98=(1-x)^{-365/25}-1 ?

The answer to 0.98=(1-x)^{-365/25}-1 is x=-(50/99)^{5/73}+1

Solve for x: 0.98=(1-x)^{-365/25}-1

The solution is x=-(50/99)^{5/73}+1

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0.98 = (1 - x)^{- \frac{365}{25}} - 1

x = - (\frac{50}{99})^{\frac{5}{73}} + 1

Decimal Notation

x = 0.04570 \dots

Solution steps

0.98 = (1 - x)^{- \frac{365}{25}} - 1

Use the following exponent property

: a^{n} = (a^{\frac{1}{m}})^{(n \cdot m)}

(1 - x)^{- \frac{365}{25}} = ((1 - x)^{\frac{1}{5}})^{(- \frac{365}{25} \cdot 5)}

0.98 = ((1 - x)^{\frac{1}{5}})^{- 73} - 1

Rewrite the equation with

(1 - x)^{\frac{1}{5}} = u

0.98 = u^{- 73} - 1

Solve

Substitute back

u = (1 - x)^{\frac{1}{5}},

solve for

x

Solve

x = - (\frac{50}{99})^{\frac{5}{73}} + 1

Verify Solutions:

x = - (\frac{50}{99})^{\frac{5}{73}} + 1

True

The solution is

x = - (\frac{50}{99})^{\frac{5}{73}} + 1

(\frac{x}{1 - x})^{0.77} = 0.361

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

2 x^{- \frac{1}{2}} = 2

x - 10 x - 1 = 2

6 = x^{2} - 64

What is the answer to 0.98=(1-x)^{-365/25}-1 ?
The answer to 0.98=(1-x)^{-365/25}-1 is x=-(50/99)^{5/73}+1
Solve for x: 0.98=(1-x)^{-365/25}-1
The solution is x=-(50/99)^{5/73}+1