What is the answer to ln(x+2)=ln(12)-ln(x+3) ?

The answer to ln(x+2)=ln(12)-ln(x+3) is x=1

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ln(x+2)=ln(12)-ln(x+3)

ln (x + 2) = ln (12) - ln (x + 3)

x = 1

Solution steps

ln (x + 2) = ln (12) - ln (x + 3)

Add

ln (x + 3)

to both sides

ln (x + 2) + ln (x + 3) = ln (12) - ln (x + 3) + ln (x + 3)

Simplify

ln (x + 2) + ln (x + 3) = ln (12)

Apply log rules

(x + 2) (x + 3) = 12

Solve

(x + 2) (x + 3) = 12 : x = 1, x = - 6

x = 1, x = - 6

Verify Solutions:

x = 1

True

, x = - 6

False

The solution is

x = 1

lo g_{10} (C) = 10

lo g_{10} (x) = - lo g_{10} (ab)

lo g_{2} (\frac{x}{10000}) = 50

2 ln (2) + 2 ln (x) = 2 ln (2 x)

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

What is the answer to ln(x+2)=ln(12)-ln(x+3) ?
The answer to ln(x+2)=ln(12)-ln(x+3) is x=1
Solve for x: ln(x+2)=ln(12)-ln(x+3)
The solution is x=1