What is the answer to 0=(-2ln(x)+1)/(x^3) ?

The answer to 0=(-2ln(x)+1)/(x^3) is x=sqrt(e)

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0=(-2ln(x)+1)/(x^3)

0 = \frac{- 2 ln ( x ) + 1}{x ^{3}}

x = e

Decimal

x = 1.64872 \dots

Solution steps

0 = \frac{- 2 ln ( x ) + 1}{x ^{3}}

Switch sides

\frac{- 2 ln ( x ) + 1}{x ^{3}} = 0

Multiply both sides by

x^{3}

- 2 ln (x) + 1 = 0

Move

1

to the right side

- 2 ln (x) = - 1

Divide both sides by

- 2

ln (x) = \frac{1}{2}

Apply log rules

x = e

Verify Solutions:

x = e

True

The solution is

x = e

lo g_{10} (x) = - 3

ln (x^{2} - 2 x + 2) = 0

9 lo g_{3} (5 x - 6) - 8 = 10

y, y = ln (3 x + 4 y)

lo g_{10} (ab x + 1)

What is the answer to 0=(-2ln(x)+1)/(x^3) ?
The answer to 0=(-2ln(x)+1)/(x^3) is x=sqrt(e)
Solve for x: 0=(-2ln(x)+1)/(x^3)
The solution is x=sqrt(e)