en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

ln(x^4)=12

Solution

ln (x^{4}) = 12

Solution

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

+1

Decimal Notation

x = 20.08553 \dots, x = - 20.08553 \dots

Solution steps

ln (x^{4}) = 12

Apply exponent rule:

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

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

ln ((x^{2})^{2}) = 12

Apply log rules

x^{2} = e^{6}

Solve

x^{2} = e^{6} : x = e^{3}, x = - e^{3}

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

Verify Solutions:

x = e^{3}

True

, x = - e^{3}

True

The solutions are

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

Popular Examples

solvefor x,ln(x)=10 solve for

x, ln (x) = 10

lo g_{e} (a) = - 1

log_{10}(2x-2)=-1

lo g_{10} (2 x - 2) = - 1

log_{3}(x+25)+log_{3}(x-1)=3

lo g_{3} (x + 25) + lo g_{3} (x - 1) = 3

log_{10}(x^2-x)=0

lo g_{10} (x^{2} - x) = 0

Frequently Asked Questions (FAQ)

What is the answer to ln(x^4)=12 ?
The answer to ln(x^4)=12 is x=e^3,x=-e^3
Solve for x: ln(x^4)=12
The solution is x=e^3,x=-e^3