What is the answer to ln(2x-4)-ln(x-1)=ln(x-2) ?

The answer to ln(2x-4)-ln(x-1)=ln(x-2) is x=3

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ln(2x-4)-ln(x-1)=ln(x-2)

ln (2 x - 4) - ln (x - 1) = ln (x - 2)

x = 3

Solution steps

ln (2 x - 4) - ln (x - 1) = ln (x - 2)

Add

ln (x - 1)

to both sides

ln (2 x - 4) - ln (x - 1) + ln (x - 1) = ln (x - 2) + ln (x - 1)

Simplify

ln (2 x - 4) = ln (x - 2) + ln (x - 1)

Apply log rules

2 x - 4 = (x - 2) (x - 1)

Solve

2 x - 4 = (x - 2) (x - 1) : x = 3, x = 2

x = 3, x = 2

Verify Solutions:

x = 3

True

, x = 2

False

The solution is

x = 3

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

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

ln (x) - ln (x) = 0

- 0.625 = ln (x)

37.9 = lo g_{10} (r^{20})

What is the answer to ln(2x-4)-ln(x-1)=ln(x-2) ?
The answer to ln(2x-4)-ln(x-1)=ln(x-2) is x=3
Solve for x: ln(2x-4)-ln(x-1)=ln(x-2)
The solution is x=3