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

lo g_{4} (x - 9) = 2

lo g_{10} (2 x + 3) = lo g_{10} (45) - lo g_{10} (3)

lo g_{2} (3 x^{2} - 4 x) = 5

lo g_{2} (4 x + 5) = 4

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

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)