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Popular >

2ln(x/2)=-e

Solution

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

Solution

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

+1

Decimal Notation

x = 0.51376 \dots

Solution steps

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

Divide both sides by

2

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

Apply log rules

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

Multiply both sides by

2

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

Simplify

e^{- \frac{e}{2}} \cdot 2 : \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

solvefor x,6log_{10}(x)=9 solve for

x, 6 lo g_{10} (x) = 9

0 = - ln (x + 2)

log_{4}(x)-log_{x}(16)=1

lo g_{4} (x) - lo g_{x} (16) = 1

solvefor x,7.09=-log_{10}(x)solve for

x, 7.09 = - lo g_{10} (x)

ln (x^{4}) = 4 ln (x)

Frequently Asked Questions (FAQ)

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