What is the answer to 0.98=(1-x)^{-365/57}-1 ?

The answer to 0.98=(1-x)^{-365/57}-1 is x=-(50/99)^{57/365}+1

Solve for x: 0.98=(1-x)^{-365/57}-1

The solution is x=-(50/99)^{57/365}+1

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0.98 = (1 - x)^{- \frac{365}{57}} - 1

x = - (\frac{50}{99})^{\frac{57}{365}} + 1

Decimal Notation

x = 0.10118 \dots

Solution steps

0.98 = (1 - x)^{- \frac{365}{57}} - 1

Use the following exponent property

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

(1 - x)^{- \frac{365}{57}} = ((1 - x)^{\frac{1}{57}})^{(- \frac{365}{57} \cdot 57)}

0.98 = ((1 - x)^{\frac{1}{57}})^{- 365} - 1

Rewrite the equation with

(1 - x)^{\frac{1}{57}} = u

0.98 = u^{- 365} - 1

Solve

Substitute back

u = (1 - x)^{\frac{1}{57}},

solve for

x

Solve

x = - (\frac{50}{99})^{\frac{57}{365}} + 1

Verify Solutions:

x = - (\frac{50}{99})^{\frac{57}{365}} + 1

True

The solution is

x = - (\frac{50}{99})^{\frac{57}{365}} + 1

11 - x - x + 6 = 3

3 x - 11 + 3 = x

3 x - 2 - 9 = 3

x + 5 + 2 = x - 1

What is the answer to 0.98=(1-x)^{-365/57}-1 ?
The answer to 0.98=(1-x)^{-365/57}-1 is x=-(50/99)^{57/365}+1
Solve for x: 0.98=(1-x)^{-365/57}-1
The solution is x=-(50/99)^{57/365}+1