What is the answer to ln(x-2)=ln(3)-ln(x) ?

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

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ln(x-2)=ln(3)-ln(x)

ln (x - 2) = ln (3) - ln (x)

x = 3

Solution steps

ln (x - 2) = ln (3) - ln (x)

Add

ln (x)

to both sides

ln (x - 2) + ln (x) = ln (3) - ln (x) + ln (x)

Simplify

ln (x - 2) + ln (x) = ln (3)

Apply log rules

(x - 2) x = 3

Solve

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

x = 3, x = - 1

Verify Solutions:

x = 3

True

, x = - 1

False

The solution is

x = 3

lo g_{10} (x) = 1307

x, ln (x + y) - ln (x - y) = 4

ln (x) = 3.39

ln (x) = 3.49

ln (x) = 3.61

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