What is the answer to ln(x+3)+ln(x-1)-3=0 ?

The answer to ln(x+3)+ln(x-1)-3=0 is x=(-2+sqrt(4e^3+16))/2

Solve for x: ln(x+3)+ln(x-1)-3=0

The solution is x=(-2+sqrt(4e^3+16))/2

Popular >

ln (x + 3) + ln (x - 1) - 3 = 0

x = \frac{- 2 + 4 e ^{3} + 16}{2}

Decimal Notation

x = 3.90770 \dots

Solution steps

ln (x + 3) + ln (x - 1) - 3 = 0

Apply log rules

(x + 3) (x - 1) = e^{3}

Solve

(x + 3) (x - 1) = e^{3} : x = \frac{- 2 + 4 e ^{3} + 16}{2}, x = \frac{- 2 - 4 e ^{3} + 16}{2}

x = \frac{- 2 + 4 e ^{3} + 16}{2}, x = \frac{- 2 - 4 e ^{3} + 16}{2}

Verify Solutions:

x = \frac{- 2 + 4 e ^{3} + 16}{2}

True

, x = \frac{- 2 - 4 e ^{3} + 16}{2}

False

The solution is

x = \frac{- 2 + 4 e ^{3} + 16}{2}

lo g_{2} (3 - x) = 3 - lo g_{2} (5 - x)

ln (3 x) = 0

lo g_{8} ((x + 2)^{2}) = 2

lo g_{10} (x^{2} + 4 x) - lo g_{10} (2 x + 8) = 1

(lo g_{10} (x))^{2} - lo g_{10} (x^{3}) + 2 = 0

What is the answer to ln(x+3)+ln(x-1)-3=0 ?
The answer to ln(x+3)+ln(x-1)-3=0 is x=(-2+sqrt(4e^3+16))/2
Solve for x: ln(x+3)+ln(x-1)-3=0
The solution is x=(-2+sqrt(4e^3+16))/2