What is the answer to ln(x-3)-ln(x-2)=5 ?

The answer to ln(x-3)-ln(x-2)=5 is No Solution for x\in\mathbb{R}

Solve for x: ln(x-3)-ln(x-2)=5

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

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ln (x - 3) - ln (x - 2) = 5

No Solution for x \in R

Solution steps

ln (x - 3) - ln (x - 2) = 5

Add

ln (x - 2)

to both sides

ln (x - 3) - ln (x - 2) + ln (x - 2) = 5 + ln (x - 2)

Simplify

ln (x - 3) = 5 + ln (x - 2)

Apply log rules

x - 3 = e^{5} (x - 2)

Solve

x - 3 = e^{5} (x - 2) : x = \frac{2 e ^{5} - 3}{e ^{5} - 1}

x = \frac{2 e ^{5} - 3}{e ^{5} - 1}

Verify Solutions:

x = \frac{2 e ^{5} - 3}{e ^{5} - 1}

False

The solution is

No Solution for x \in R

lo g_{x + 4} (3 x^{2} - 2 x + 16) = 2

lo g_{5} (x + 6) = 2

lo g_{10} (x) = 10.89

lo g_{10} (x + 4) = lo g_{10} (x) + lo g_{10} (4)

ln^{2} (x) + ln (x^{3}) + 2 = 0

What is the answer to ln(x-3)-ln(x-2)=5 ?
The answer to ln(x-3)-ln(x-2)=5 is No Solution for x\in\mathbb{R}
Solve for x: ln(x-3)-ln(x-2)=5
The solution is No Solution for x\in\mathbb{R}