What is the answer to ln(x)-ln(x-2000)=14876 ?

The answer to ln(x)-ln(x-2000)=14876 is No Solution for x\in\mathbb{R}

Solve for x: ln(x)-ln(x-2000)=14876

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

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ln (x) - ln (x - 2000) = 14876

No Solution for x \in R

Solution steps

ln (x) - ln (x - 2000) = 14876

Add

ln (x - 2000)

to both sides

ln (x) - ln (x - 2000) + ln (x - 2000) = 14876 + ln (x - 2000)

Simplify

ln (x) = 14876 + ln (x - 2000)

Apply log rules

x = e^{14876} (x - 2000)

Solve

x = e^{14876} (x - 2000) : x = \frac{2000 e ^{14876}}{e ^{14876} - 1}

x = \frac{2000 e ^{14876}}{e ^{14876} - 1}

Verify Solutions:

x = \frac{2000 e ^{14876}}{e ^{14876} - 1}

False

The solution is

No Solution for x \in R

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

2 lo g_{3} (x) = lo g_{3} (16)

lo g_{x} (3) = \frac{3}{2}

x, lo g_{10} (x) = ln (y)

ln (2 x) = 14

What is the answer to ln(x)-ln(x-2000)=14876 ?
The answer to ln(x)-ln(x-2000)=14876 is No Solution for x\in\mathbb{R}
Solve for x: ln(x)-ln(x-2000)=14876
The solution is No Solution for x\in\mathbb{R}