What is the answer to 3000=5466.89*(1+x)^{1.5} ?

The answer to 3000=5466.89*(1+x)^{1.5} is x=\sqrt[3]{(300000^2)/(546689^2)}-1

Solve for x: 3000=5466.89*(1+x)^{1.5}

The solution is x=\sqrt[3]{(300000^2)/(546689^2)}-1

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3000 = 5466.89 \cdot (1 + x)^{1.5}

Decimal Notation

x = - 0.32972 \dots

Solution steps

3000 = 5466.89 (1 + x)^{1.5}

Switch sides

5466.89 (1 + x)^{1.5} = 3000

Multiply both sides by

100

546689 (1 + x)^{1.5} = 300000

Divide both sides by

546689

(1 + x)^{1.5} = \frac{300000}{546689}

Take both sides of the equation to the power of

2 : (1 + x)^{3} = \frac{30000 0 ^{2}}{54668 9 ^{2}}

(1 + x)^{3} = \frac{30000 0 ^{2}}{54668 9 ^{2}}

Solve

Verify Solutions:

True

The solution is

3 x - 3 + 1 = 3 x + 6

x + 4 x + 25 = - 1

3 t + 7 = - 4

y^{\frac{1}{4}} = 2

What is the answer to 3000=5466.89*(1+x)^{1.5} ?
The answer to 3000=5466.89*(1+x)^{1.5} is x=\sqrt[3]{(300000^2)/(546689^2)}-1
Solve for x: 3000=5466.89*(1+x)^{1.5}
The solution is x=\sqrt[3]{(300000^2)/(546689^2)}-1