en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x-eln(x)=0

Solution

x - e ln (x) = 0

Solution

x = e

+1

Decimal

x = 2.71828 \dots

Solution steps

x - e ln (x) = 0

Move

x

to the right side

- e ln (x) = - x

Divide both sides by

- e

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

If

f (x) = g (x),

then

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

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

Simplify

e^{l n (x)} : x

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

Solve

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

x = e

Verify Solutions:

x = e

True

The solution is

x = e

Graph

Popular Examples

4log_{5}(x+1)=4.8

4 lo g_{5} (x + 1) = 4.8

log_{x+7}(3x^2+6x-15)=2

lo g_{x + 7} (3 x^{2} + 6 x - 15) = 2

solvefor y,y=ln(xy)solve for

y, y = ln (x y)

log_{2x}(x^2+9x-6)=2

lo g_{2 x} (x^{2} + 9 x - 6) = 2

log_{0.2}(2x-3)=-1

lo g_{0.2} (2 x - 3) = - 1

Frequently Asked Questions (FAQ)

What is the answer to x-eln(x)=0 ?
The answer to x-eln(x)=0 is x=e