What is the answer to ln(x+5)-ln(x+6)=5 ?

The answer to ln(x+5)-ln(x+6)=5 is No Solution for x\in\mathbb{R}

Solve for x: ln(x+5)-ln(x+6)=5

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

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ln (x + 5) - ln (x + 6) = 5

No Solution for x \in R

Solution steps

ln (x + 5) - ln (x + 6) = 5

Add

ln (x + 6)

to both sides

ln (x + 5) - ln (x + 6) + ln (x + 6) = 5 + ln (x + 6)

Simplify

ln (x + 5) = 5 + ln (x + 6)

Apply log rules

x + 5 = e^{5} (x + 6)

Solve

x + 5 = e^{5} (x + 6) : x = \frac{6 e ^{5} - 5}{1 - e ^{5}}

x = \frac{6 e ^{5} - 5}{1 - e ^{5}}

Verify Solutions:

x = \frac{6 e ^{5} - 5}{1 - e ^{5}}

False

The solution is

No Solution for x \in R

lo g_{2} (x) = 2

- lo g_{10} (x) = 2.24

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

ln (x + 1) = ln (3 - x)

5.29 = - lo g_{10} (x)

What is the answer to ln(x+5)-ln(x+6)=5 ?
The answer to ln(x+5)-ln(x+6)=5 is No Solution for x\in\mathbb{R}
Solve for x: ln(x+5)-ln(x+6)=5
The solution is No Solution for x\in\mathbb{R}