What is the answer to ln(x-4)-ln(x)=5 ?

The answer to ln(x-4)-ln(x)=5 is No Solution for x\in\mathbb{R}

Solve for x: ln(x-4)-ln(x)=5

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

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ln (x - 4) - ln (x) = 5

No Solution for x \in R

Solution steps

ln (x - 4) - ln (x) = 5

Add

ln (x)

to both sides

ln (x - 4) - ln (x) + ln (x) = 5 + ln (x)

Simplify

ln (x - 4) = 5 + ln (x)

Apply log rules

x - 4 = e^{5} x

Solve

x - 4 = e^{5} x : x = \frac{4}{1 - e ^{5}}

x = \frac{4}{1 - e ^{5}}

Verify Solutions:

x = \frac{4}{1 - e ^{5}}

False

The solution is

No Solution for x \in R

x, ln (y) = 2 ln (x) + 2 c

lo g_{2 - x} (2 x^{2} - 1) = 2

lo g_{e} (x - 2) - 3 lo g_{e} (2) = 2

ln (x + 5) - ln (x - 4) = ln (x)

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

What is the answer to ln(x-4)-ln(x)=5 ?
The answer to ln(x-4)-ln(x)=5 is No Solution for x\in\mathbb{R}
Solve for x: ln(x-4)-ln(x)=5
The solution is No Solution for x\in\mathbb{R}