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

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

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

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

x = e

Decimal

x = 1.64872 \dots

Solution steps

\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

y, lo g_{y} (x) = 2

ln (x) + ln (x + 1) = 7

lo g_{6} (- 3 + x) = 1

5.5 = - lo g_{10} (x)

4 ln (3 x) = 8

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