What is the answer to 0=(1-3ln(x))/(x^3) ?

The answer to 0=(1-3ln(x))/(x^3) is x=\sqrt[3]{e}

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0=(1-3ln(x))/(x^3)

0 = \frac{1 - 3 ln ( x )}{x ^{3}}

Decimal Notation

x = 1.39561 \dots

Solution steps

0 = \frac{1 - 3 ln ( x )}{x ^{3}}

Switch sides

\frac{1 - 3 ln ( x )}{x ^{3}} = 0

Multiply both sides by

x^{3}

1 - 3 ln (x) = 0

Move

1

to the right side

- 3 ln (x) = - 1

Divide both sides by

- 3

ln (x) = \frac{1}{3}

Apply log rules

Verify Solutions:

True

The solution is

a = 20 lo g_{10} (x)

lo g_{10} (1 - 3 x) = 2

0.25 = ln (x)

a = lo g_{2 x} (4 x^{2})

- 7.76 = 3.35 \cdot ln (c)

What is the answer to 0=(1-3ln(x))/(x^3) ?
The answer to 0=(1-3ln(x))/(x^3) is x=\sqrt[3]{e}
Solve for x: 0=(1-3ln(x))/(x^3)
The solution is x=\sqrt[3]{e}