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Popular >

-ln(x-1)=2

Solution

- ln (x - 1) = 2

Solution

x = \frac{1}{e ^{2}} + 1

+1

Solution steps

- ln (x - 1) = 2

Divide both sides by

- 1

ln (x - 1) = - 2

Apply log rules

x - 1 = \frac{1}{e ^{2}}

Solve

x - 1 = \frac{1}{e ^{2}} : x = \frac{1}{e ^{2}} + 1

x = \frac{1}{e ^{2}} + 1

Verify Solutions:

x = \frac{1}{e ^{2}} + 1

True

The solution is

x = \frac{1}{e ^{2}} + 1

Popular Examples

2log_{3}(x+4)=log_{3}(9)+2

2 lo g_{3} (x + 4) = lo g_{3} (9) + 2

log_{5}(x+1)=12

lo g_{5} (x + 1) = 12

log_{5}(x)-log_{5}(14)=3

lo g_{5} (x) - lo g_{5} (14) = 3

log_{10}(2)(log_{3}(x))=-1

lo g_{10} (2) (lo g_{3} (x)) = - 1

2log_{10}(x)-3=5

2 lo g_{10} (x) - 3 = 5

Frequently Asked Questions (FAQ)

What is the answer to -ln(x-1)=2 ?
The answer to -ln(x-1)=2 is x= 1/(e^2)+1
Solve for x: -ln(x-1)=2
The solution is x= 1/(e^2)+1