What is the answer to 3ln(x^4)=18 ?

The answer to 3ln(x^4)=18 is x=esqrt(e),x=-esqrt(e)

Solve for x: 3ln(x^4)=18

The solution is x=esqrt(e),x=-esqrt(e)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 ln (x^{4}) = 18

x = e e, x = - e e

Decimal Notation

x = 4.48168 \dots, x = - 4.48168 \dots

Solution steps

3 ln (x^{4}) = 18

Divide both sides by

3

ln (x^{4}) = 6

Apply exponent rule:

a^{2 \cdot n} = (a^{2})^{n}

x^{4} = (x^{2})^{2}

ln ((x^{2})^{2}) = 6

Apply log rules

x^{2} = e^{3}

Solve

x^{2} = e^{3} : x = e e, x = - e e

x = e e, x = - e e

Verify Solutions:

x = e e

True

, x = - e e

True

The solutions are

x = e e, x = - e e

lo g_{9} (a) = lo g_{3} (x)

lo g_{2} (m - 6) + lo g_{2} (m + 1) = 3

lo g_{4}^{2} (1 + x^{2}) = 0.25

lo g_{10} (\frac{x}{3}) = 2

lo g_{x} (16) = 4

What is the answer to 3ln(x^4)=18 ?
The answer to 3ln(x^4)=18 is x=esqrt(e),x=-esqrt(e)
Solve for x: 3ln(x^4)=18
The solution is x=esqrt(e),x=-esqrt(e)