Solve for x natural log of natural log of x=2

$\ln (\ln (x)) = 2$

To solve for $x$ , rewrite the equation using properties of logarithms.

$e^{\ln (\ln (x))} = e^{2}$

Rewrite $\ln (\ln (x)) = 2$ in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ .

$e^{2} = \ln (x)$

Solve for $x$ .

Rewrite the equation as $\ln (x) = e^{2}$ .

$\ln (x) = e^{2}$

To solve for $x$ , rewrite the equation using properties of logarithms.

$e^{\ln (x)} = e^{e^{2}}$

Rewrite $\ln (x) = e^{2}$ in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ .

$e^{e^{2}} = x$

Rewrite the equation as $x = e^{e^{2}}$ .

$x = e^{e^{2}}$

The result can be shown in multiple forms.

Exact Form:

$x = e^{e^{2}}$

Decimal Form:

$x = 1618.17799191 \dots$

Solve for x natural log of natural log of x=2

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