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

The answer to ln(x)= 2/x is x= 2/(\W_{0)(2)}

Solve for x: ln(x)= 2/x

The solution is x= 2/(\W_{0)(2)}

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ln (x) = \frac{2}{x}

x = \frac{2}{W _{0} ( 2 )}

Decimal Notation

x = 2.34575 \dots

Solution steps

ln (x) = \frac{2}{x}

f (x) = g (x),

then

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

e^{l n (x)} = e^{\frac{2}{x}}

Simplify

e^{l n (x)} : x

x = e^{\frac{2}{x}}

Solve

x = e^{\frac{2}{x}} : x = \frac{2}{W _{0} ( 2 )}

x = \frac{2}{W _{0} ( 2 )}

Verify Solutions:

x = \frac{2}{W _{0} ( 2 )}

True

The solution is

x = \frac{2}{W _{0} ( 2 )}

12 = lo g_{10} (x)

x, ln (\frac{1}{2} x) = y

y, ln (y) = e^{x} + C

ln (x) + ln (x + 5) = ln (6)

ln (x + 8) = x + 5