What is the answer to x^2ln(x)-9ln(x)=0 ?

The answer to x^2ln(x)-9ln(x)=0 is x=1,x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2ln(x)-9ln(x)=0

x^{2} ln (x) - 9 ln (x) = 0

x = 1, x = 3

Solution steps

x^{2} ln (x) - 9 ln (x) = 0

Factor

x^{2} ln (x) - 9 ln (x) : ln (x) (x^{2} - 9)

ln (x) (x^{2} - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

ln (x) = 0 or x^{2} - 9 = 0

Solve

ln (x) = 0 : x = 1

Solve

x^{2} - 9 = 0 : x = 3, x = - 3

Verify Solutions:

x = 1

True

, x = 3

True

, x = - 3

False

The solutions are

x = 1, x = 3

x, ln (x) = z

lo g_{5} (x + 1) = 2 + lo g_{5} (3 x - 2)

ln ∣ x ∣ = ln (x^{2})

lo g_{4} (v) = 4

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

What is the answer to x^2ln(x)-9ln(x)=0 ?
The answer to x^2ln(x)-9ln(x)=0 is x=1,x=3
Solve for x: x^2ln(x)-9ln(x)=0
The solution is x=1,x=3