What is the answer to ln(x)ln(x)=5 ?

The answer to ln(x)ln(x)=5 is x=e^{sqrt(5)},x= 1/(e^{sqrt(5))}

Solve for x: ln(x)ln(x)=5

The solution is x=e^{sqrt(5)},x= 1/(e^{sqrt(5))}

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ln (x) ln (x) = 5

x = e^{5}, x = \frac{1}{e ^{5}}

Decimal Notation

x = 9.35646 \dots, x = 0.10687 \dots

Solution steps

ln (x) ln (x) = 5

Rewrite the equation with

ln (x) = u

uu = 5

Solve

uu = 5 : u = 5, u = - 5

u = 5, u = - 5

Substitute back

u = ln (x),

solve for

x

Solve

ln (x) = 5 : x = e^{5}

Solve

ln (x) = - 5 : x = \frac{1}{e ^{5}}

x = e^{5}, x = \frac{1}{e ^{5}}

Verify Solutions:

x = e^{5}

True

, x = \frac{1}{e ^{5}}

True

The solutions are

x = e^{5}, x = \frac{1}{e ^{5}}

lo g_{x} (324) = 2

lo g_{x} (324) = 4

lo g_{10} (x) = 0.67292

ln (1 - c) = 0.46

y, x = lo g_{10} (y + 2)

What is the answer to ln(x)ln(x)=5 ?
The answer to ln(x)ln(x)=5 is x=e^{sqrt(5)},x= 1/(e^{sqrt(5))}
Solve for x: ln(x)ln(x)=5
The solution is x=e^{sqrt(5)},x= 1/(e^{sqrt(5))}