What is the answer to roots-x*ln(x) ?

The answer to roots-x*ln(x) is x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

roots-x*ln(x)

roots

- x \cdot ln (x)

x = 1

Solution steps

- x ln (x)

The roots are the intercepts with the x-axis

(y = 0)

- x ln (x) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or ln (x) = 0

Solve

ln (x) = 0 : x = 1

Verify Solutions:

x = 0

False

, x = 1

True

The solution is

x = 1

lo g_{x} (\frac{1}{512}) = - \frac{3}{2}

lo g_{2} (4 x + 6) = 4

lo g_{5} (x^{2} + 9) = 2

x, z = ln (x^{2}) + 2 x y - 2 y

lo g_{10} (x + 7) = lo g_{10} (x) + lo g_{10} (7)