What is the answer to ln^2(x)=3 ?

The answer to ln^2(x)=3 is x=e^{sqrt(3)},x= 1/(e^{sqrt(3))}

Solve for x: ln^2(x)=3

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

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ln^{2} (x) = 3

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

Decimal Notation

x = 5.65223 \dots, x = 0.17692 \dots

Solution steps

ln^{2} (x) = 3

Rewrite the equation with

ln (x) = u

u^{2} = 3

Solve

u^{2} = 3 : u = 3, u = - 3

u = 3, u = - 3

Substitute back

u = ln (x),

solve for

x

Solve

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

Solve

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

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

Verify Solutions:

x = e^{3}

True

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

True

The solutions are

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

2 lo g_{5} (2 x + 3) = 2

x, ln (7 x + e) = 3

x, ln (7 x + e) = 1

2 ln (x) = x

- ln (x) = 4

What is the answer to ln^2(x)=3 ?
The answer to ln^2(x)=3 is x=e^{sqrt(3)},x= 1/(e^{sqrt(3))}
Solve for x: ln^2(x)=3
The solution is x=e^{sqrt(3)},x= 1/(e^{sqrt(3))}