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Popular >

2ln(2/x)=e

Solution

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

Solution

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

+1

Solution steps

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

Divide both sides by

2

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

Apply log rules

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

Multiply both sides by

x

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

Simplify

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

Solve

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

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

Verify Solutions:

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

True

The solution is

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

Popular Examples

log_{x-2}(2x^2-11x+16)=2

lo g_{x - 2} (2 x^{2} - 11 x + 16) = 2

log_{10}(0.5x)=-6

lo g_{10} (0.5 x) = - 6

log_{6}((x+4)/(x-1))=1

lo g_{6} (\frac{x + 4}{x - 1}) = 1

x=ln(x-1)-ln(4)

x = ln (x - 1) - ln (4)

lo g_{5} (x - 1) = 2

Frequently Asked Questions (FAQ)

What is the answer to 2ln(2/x)=e ?
The answer to 2ln(2/x)=e is x= 2/(e^{e/2)}