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

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

Solve for x: ln(x)+ln(x+2)=3

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

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

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

Decimal Notation

x = 3.59189 \dots

Solution steps

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

Apply log rules

x (x + 2) = e^{3}

Solve

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

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

Verify Solutions:

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

True

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

False

The solution is

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

5000 = ln (x)

ln (x) + ln (2 x) + ln (4 x) = 3

ln (x) + ln (x - 6) = 2

ln (x) + ln (x - 6) = 3

ln (20 x - 13) - 13 ln (1) = 0

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