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

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

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

The solution is x=(-1+sqrt(1+4e^3))/2

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

x = \frac{- 1 + 1 + 4 e ^{3}}{2}

Decimal Notation

x = 4.00949 \dots

Solution steps

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

Apply log rules

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

Solve

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

x = \frac{- 1 + 1 + 4 e ^{3}}{2}, x = \frac{- 1 - 1 + 4 e ^{3}}{2}

Verify Solutions:

x = \frac{- 1 + 1 + 4 e ^{3}}{2}

True

, x = \frac{- 1 - 1 + 4 e ^{3}}{2}

False

The solution is

x = \frac{- 1 + 1 + 4 e ^{3}}{2}

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

x, y = 2 ln (x)

y, x = 3 lo g_{10} (y^{2})

50 = 15.343 ln (x) + 73.921

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

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