What is the answer to ln(x+3)-ln(x-1)=ln(3) ?

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

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

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

x = 3

Solution steps

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

Add

ln (x - 1)

to both sides

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

Simplify

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

Apply log rules

x + 3 = 3 (x - 1)

Solve

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

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

lo g_{10} (5 x + 2) = lo g_{10} (x - 3)

ln (u - 10) = ln (8)

- lo g_{10} (x) = 14.8

5.25 = - lo g_{10} (x)

x, y - 3 = lo g_{e} (x^{5})

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