What is the answer to 0.2=(1+x)^{45/360}-1 ?

The answer to 0.2=(1+x)^{45/360}-1 is x=3.29981696

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0.2=(1+x)^{45/360}-1

0.2 = (1 + x)^{\frac{45}{360}} - 1

x = 3.29981696

Solution steps

0.2 = (1 + x)^{\frac{45}{360}} - 1

Expand

(1 + x)^{\frac{45}{360}} - 1 : (1 + x)^{\frac{1}{8}} - 1

0.2 = (1 + x)^{\frac{1}{8}} - 1

Switch sides

(1 + x)^{\frac{1}{8}} - 1 = 0.2

Move

1

to the right side

(1 + x)^{\frac{1}{8}} = 1.2

Take both sides of the equation to the power of

8 : 1 + x = 4.29981696

1 + x = 4.29981696

Solve

1 + x = 4.29981696 : x = 3.29981696

x = 3.29981696

Verify Solutions:

x = 3.29981696

True

The solution is

x = 3.29981696

(x + 5)^{2} = (x^{0.4}) + 12

\frac{1}{4} (- x + 3) = 0

3 + x = 5

9 x + 72 - 9 = 2 x - 2

21 - x = 0

What is the answer to 0.2=(1+x)^{45/360}-1 ?
The answer to 0.2=(1+x)^{45/360}-1 is x=3.29981696
Solve for x: 0.2=(1+x)^{45/360}-1
The solution is x=3.29981696