What is the answer to 2|ln(x)|-6=0 ?

The answer to 2|ln(x)|-6=0 is x= 1/(e^3),x=e^3

Solve for x: 2|ln(x)|-6=0

The solution is x= 1/(e^3),x=e^3

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2 ∣ ln (x) ∣ - 6 = 0

x = \frac{1}{e ^{3}}, x = e^{3}

Decimal Notation

x = 0.04978 \dots, x = 20.08553 \dots

Solution steps

2 ∣ ln (x) ∣ - 6 = 0

Rewrite the equation with

ln (x) = u

2 ∣ u ∣ - 6 = 0

Solve

2 ∣ u ∣ - 6 = 0 : u = - 3 or u = 3

u = - 3, u = 3

Substitute back

u = ln (x),

solve for

x

Solve

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

Solve

ln (x) = 3 : x = e^{3}

x = \frac{1}{e ^{3}}, x = e^{3}

Verify Solutions:

x = \frac{1}{e ^{3}}

True

, x = e^{3}

True

The solutions are

x = \frac{1}{e ^{3}}, x = e^{3}

- 3 x^{2} + x - 1 = 0

72 v + 32 w + 72

\frac{74 i}{1 - 6 i}

0 = 40 t - 16 t^{2} + 80

(y^{- 5})^{- 10} y^{10}

What is the answer to 2|ln(x)|-6=0 ?
The answer to 2|ln(x)|-6=0 is x= 1/(e^3),x=e^3
Solve for x: 2|ln(x)|-6=0
The solution is x= 1/(e^3),x=e^3