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Popular >

ln(x)=ln(e/x)

Solution

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

Solution

x = e

+1

Decimal Notation

x = 1.64872 \dots

Solution steps

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

Apply log rules

x = \frac{e}{x}

Solve

x = \frac{e}{x} : x = e, x = - e

x = e, x = - e

Verify Solutions:

x = e

True

, x = - e

False

The solution is

x = e

Popular Examples

log_{2}(x)=-5.567133704

lo g_{2} (x) = - 5.567133704

30 = - 7020 ln (q)

2log_{3}(x+2)=log_{3}(729)

2 lo g_{3} (x + 2) = lo g_{3} (729)

solvefor y,ln(y)=9t-8 solve for

y, ln (y) = 9 t - 8

log_{10}(x-10)=10

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

Frequently Asked Questions (FAQ)

What is the answer to ln(x)=ln(e/x) ?
The answer to ln(x)=ln(e/x) is x=sqrt(e)