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

The answer to ln(x)-ln(x-3)=ln(2) is x=6

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

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

x = 6

Solution steps

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

Add

ln (x - 3)

to both sides

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

Simplify

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

Apply log rules

x = 2 (x - 3)

Solve

x = 2 (x - 3) : x = 6

x = 6

Verify Solutions:

x = 6

True

The solution is

x = 6

lo g_{10} (x) = 0.67

lo g_{10} (x) = 0.65

lo g_{x} (\frac{1}{64}) = - 6

lo g_{t} (243) = 5

2 lo g_{4} (x) = 2

What is the answer to ln(x)-ln(x-3)=ln(2) ?
The answer to ln(x)-ln(x-3)=ln(2) is x=6
Solve for x: ln(x)-ln(x-3)=ln(2)
The solution is x=6