en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4ln(x-3)=-4

Solution

4 ln (x - 3) = - 4

Solution

x = \frac{1}{e} + 3

+1

Decimal Notation

x = 3.36787 \dots

Solution steps

4 ln (x - 3) = - 4

Divide both sides by

4

ln (x - 3) = - 1

Apply log rules

x - 3 = \frac{1}{e}

Solve

x - 3 = \frac{1}{e} : x = \frac{1}{e} + 3

x = \frac{1}{e} + 3

Verify Solutions:

x = \frac{1}{e} + 3

True

The solution is

x = \frac{1}{e} + 3

Popular Examples

2log_{3}(6)=log_{3}(x-5)

2 lo g_{3} (6) = lo g_{3} (x - 5)

log_{2}(2p+1)=log_{2}(5p-2)

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

ln(x^2)-ln(x)-ln(4)=0

ln (x^{2}) - ln (x) - ln (4) = 0

log_{20}(x)+log_{20}(x-1)=1

lo g_{20} (x) + lo g_{20} (x - 1) = 1

log_{10}(10x)=3.22

lo g_{10} (10 x) = 3.22

Frequently Asked Questions (FAQ)

What is the answer to 4ln(x-3)=-4 ?
The answer to 4ln(x-3)=-4 is x= 1/e+3
Solve for x: 4ln(x-3)=-4
The solution is x= 1/e+3