What is the answer to 1/x =ln(x) ?

The answer to 1/x =ln(x) is x= 1/(\W_{0)(1)}

Solve for x: 1/x =ln(x)

The solution is x= 1/(\W_{0)(1)}

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\frac{1}{x} = ln (x)

x = \frac{1}{W _{0} ( 1 )}

Decimal Notation

x = 1.76322 \dots

Solution steps

\frac{1}{x} = ln (x)

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

e^{\frac{1}{x}} = e^{l n (x)}

Simplify

e^{l n (x)} : x

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

Solve

e^{\frac{1}{x}} = x : x = \frac{1}{W _{0} ( 1 )}

x = \frac{1}{W _{0} ( 1 )}

Verify Solutions:

x = \frac{1}{W _{0} ( 1 )}

True

The solution is

x = \frac{1}{W _{0} ( 1 )}

ln (x) - x = 0

lo g_{x} (5) = \frac{1}{4}

lo g_{9} (r - 8) = 2

2 = lo g_{10} (\frac{x}{1000})

lo g_{6} (x) + lo g_{6} (x - 5) = 1