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

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

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

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

x = e

Decimal

x = 2.71828 \dots

Solution steps

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

Switch sides

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

Multiply both sides by

x^{2}

1 - ln (x) = 0

Move

1

to the right side

- ln (x) = - 1

Divide both sides by

- 1

ln (x) = 1

Apply log rules

x = e

Verify Solutions:

x = e

True

The solution is

x = e

lo g_{x} (8 e^{3}) = 3

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

y, ln (2 x + y) = x + 1

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

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

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