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

The answer to ln(x)-ln(x-2)=ln(2) is x=4

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ln(x)-ln(x-2)=ln(2)

ln (x) - ln (x - 2) = ln (2)

x = 4

Solution steps

ln (x) - ln (x - 2) = ln (2)

Add

ln (x - 2)

to both sides

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

Simplify

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

Apply log rules

x = 2 (x - 2)

Solve

x = 2 (x - 2) : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

lo g_{x} (27) + lo g_{x} (3) = 2

lo g_{10} (2 x - 7) = 0

lo g_{0.04} ((x + 1)^{6}) = 2

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

lo g_{4} (x + 1) = 2

What is the answer to ln(x)-ln(x-2)=ln(2) ?
The answer to ln(x)-ln(x-2)=ln(2) is x=4
Solve for x: ln(x)-ln(x-2)=ln(2)
The solution is x=4