What is the answer to ln(27)-ln(x)=ln(x-6) ?

The answer to ln(27)-ln(x)=ln(x-6) is x=9

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ln(27)-ln(x)=ln(x-6)

ln (27) - ln (x) = ln (x - 6)

x = 9

Solution steps

ln (27) - ln (x) = ln (x - 6)

Add

ln (x)

to both sides

ln (27) - ln (x) + ln (x) = ln (x - 6) + ln (x)

Simplify

ln (27) = ln (x - 6) + ln (x)

Apply log rules

27 = (x - 6) x

Solve

27 = (x - 6) x : x = 9, x = - 3

x = 9, x = - 3

Verify Solutions:

x = 9

True

, x = - 3

False

The solution is

x = 9

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

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

lo g_{3} (81) - lo g_{3} (x - 4) = 2

ln (3 x - 12) = 4

lo g_{2} (6 - x) - lo g_{2} (4 - x) = 2

What is the answer to ln(27)-ln(x)=ln(x-6) ?
The answer to ln(27)-ln(x)=ln(x-6) is x=9
Solve for x: ln(27)-ln(x)=ln(x-6)
The solution is x=9