What is the answer to ln(x-2)-ln(x)=3 ?

The answer to ln(x-2)-ln(x)=3 is No Solution for x\in\mathbb{R}

Solve for x: ln(x-2)-ln(x)=3

The solution is No Solution for x\in\mathbb{R}

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ln (x - 2) - ln (x) = 3

No Solution for x \in R

Solution steps

ln (x - 2) - ln (x) = 3

Add

ln (x)

to both sides

ln (x - 2) - ln (x) + ln (x) = 3 + ln (x)

Simplify

ln (x - 2) = 3 + ln (x)

Apply log rules

x - 2 = e^{3} x

Solve

x - 2 = e^{3} x : x = \frac{2}{1 - e ^{3}}

x = \frac{2}{1 - e ^{3}}

Verify Solutions:

x = \frac{2}{1 - e ^{3}}

False

The solution is

No Solution for x \in R

4 ln (2 x - 1) + 3 = 11

lo g_{2} (- 5 x + 9) = 2

lo g_{10} (x) = 0.9

8 x^{2} = 64 x lo g_{10} (x)

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

What is the answer to ln(x-2)-ln(x)=3 ?
The answer to ln(x-2)-ln(x)=3 is No Solution for x\in\mathbb{R}
Solve for x: ln(x-2)-ln(x)=3
The solution is No Solution for x\in\mathbb{R}