What is the answer to ln(x+5)=ln(x-1)+ln(x+1) ?

The answer to ln(x+5)=ln(x-1)+ln(x+1) is x=3

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ln(x+5)=ln(x-1)+ln(x+1)

ln (x + 5) = ln (x - 1) + ln (x + 1)

x = 3

Solution steps

ln (x + 5) = ln (x - 1) + ln (x + 1)

Apply log rules

x + 5 = (x - 1) (x + 1)

Solve

x + 5 = (x - 1) (x + 1) : x = 3, x = - 2

x = 3, x = - 2

Verify Solutions:

x = 3

True

, x = - 2

False

The solution is

x = 3

- 3 = 20 lo g_{10} (\frac{1}{x})

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

lo g_{x} (x) + lo g_{10} (8) = 2

6 + ln (x) = 8

y, x = \frac{ln ( 5 y )}{5}

What is the answer to ln(x+5)=ln(x-1)+ln(x+1) ?
The answer to ln(x+5)=ln(x-1)+ln(x+1) is x=3
Solve for x: ln(x+5)=ln(x-1)+ln(x+1)
The solution is x=3