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Popular >

1/x =e^{-ln(x)}

Solution

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

Solution

x > 0

Solution steps

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

Apply log rules

- ln (x) = - ln (x)

Rewrite the equation with

ln (x) = u

- u = - u

Both sides are equal

True for all u

Verify Solutions:

x > 0

The solution is

x > 0

Popular Examples

2 ln (x) = - x + 4

lo g_{m} (81) = 4

2ln(x)+(ln(x))^2=0

2 ln (x) + (ln (x))^{2} = 0

log_{x}(1/125)=-3

lo g_{x} (\frac{1}{125}) = - 3

lo g_{5} (x - 4) = 2

Frequently Asked Questions (FAQ)

What is the answer to 1/x =e^{-ln(x)} ?
The answer to 1/x =e^{-ln(x)} is x>0