What is the answer to ln(x-2)=ln(12)-ln(x+2) ?

The answer to ln(x-2)=ln(12)-ln(x+2) is x=4

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ln(x-2)=ln(12)-ln(x+2)

ln (x - 2) = ln (12) - ln (x + 2)

x = 4

Solution steps

ln (x - 2) = ln (12) - ln (x + 2)

Add

ln (x + 2)

to both sides

ln (x - 2) + ln (x + 2) = ln (12) - ln (x + 2) + ln (x + 2)

Simplify

ln (x - 2) + ln (x + 2) = ln (12)

Apply log rules

(x - 2) (x + 2) = 12

Solve

(x - 2) (x + 2) = 12 : x = 4, x = - 4

x = 4, x = - 4

Verify Solutions:

x = 4

True

, x = - 4

False

The solution is

x = 4

(lo g_{e} (x - 1))^{2} = 4

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ln (x) - ln (8) = ln (x + 5) - ln (2)

ln (x) + ln (3) = ln (9)

lo g_{6} (3 - m) + lo g_{6} (- m - 2) = 2

What is the answer to ln(x-2)=ln(12)-ln(x+2) ?
The answer to ln(x-2)=ln(12)-ln(x+2) is x=4
Solve for x: ln(x-2)=ln(12)-ln(x+2)
The solution is x=4