What is the answer to ln(8)-ln(k+2)=ln(k) ?

The answer to ln(8)-ln(k+2)=ln(k) is k=2

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ln(8)-ln(k+2)=ln(k)

ln (8) - ln (k + 2) = ln (k)

k = 2

Solution steps

ln (8) - ln (k + 2) = ln (k)

Add

ln (k + 2)

to both sides

ln (8) - ln (k + 2) + ln (k + 2) = ln (k) + ln (k + 2)

Simplify

ln (8) = ln (k) + ln (k + 2)

Apply log rules

8 = k (k + 2)

Solve

8 = k (k + 2) : k = 2, k = - 4

k = 2, k = - 4

Verify Solutions:

k = 2

True

, k = - 4

False

The solution is

k = 2

lo g_{2} (4 X) = 3

lo g_{9} (30 x^{2}) = 7

lo g_{x} (81) = 8

lo g_{10} (6 x) = - ln (5 x)

ln^{2} (x) = ln (x^{2})

What is the answer to ln(8)-ln(k+2)=ln(k) ?
The answer to ln(8)-ln(k+2)=ln(k) is k=2
Solve for k: ln(8)-ln(k+2)=ln(k)
The solution is k=2