en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3ln(x-1)=-3

Solution

3 ln (x - 1) = - 3

Solution

x = \frac{1}{e} + 1

+1

Decimal Notation

x = 1.36787 \dots

Solution steps

3 ln (x - 1) = - 3

Divide both sides by

3

ln (x - 1) = - 1

Apply log rules

x - 1 = \frac{1}{e}

Solve

x - 1 = \frac{1}{e} : x = \frac{1}{e} + 1

x = \frac{1}{e} + 1

Verify Solutions:

x = \frac{1}{e} + 1

True

The solution is

x = \frac{1}{e} + 1

Popular Examples

log_{2}(2x)-4log_{2}(3)=1

lo g_{2} (2 x) - 4 lo g_{2} (3) = 1

log_{2}((r+7)^2)=4

lo g_{2} ((r + 7)^{2}) = 4

log_{3}((r+16)^2)=4

lo g_{3} ((r + 16)^{2}) = 4

solvefor x,log_{10}(x)=-1.5 solve for

x, lo g_{10} (x) = - 1.5

2.5x^2=5xlog_{2}(x)4

2.5 x^{2} = 5 x lo g_{2} (x) 4

Frequently Asked Questions (FAQ)

What is the answer to 3ln(x-1)=-3 ?
The answer to 3ln(x-1)=-3 is x= 1/e+1
Solve for x: 3ln(x-1)=-3
The solution is x= 1/e+1