What is the answer to ln(x)+ln(x+6)=4 ?

The answer to ln(x)+ln(x+6)=4 is x=(-6+sqrt(36+4e^4))/2

Solve for x: ln(x)+ln(x+6)=4

The solution is x=(-6+sqrt(36+4e^4))/2

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ln (x) + ln (x + 6) = 4

x = \frac{- 6 + 36 + 4 e ^{4}}{2}

Decimal Notation

x = 4.97484 \dots

Solution steps

ln (x) + ln (x + 6) = 4

Apply log rules

x (x + 6) = e^{4}

Solve

x (x + 6) = e^{4} : x = \frac{- 6 + 36 + 4 e ^{4}}{2}, x = \frac{- 6 - 36 + 4 e ^{4}}{2}

x = \frac{- 6 + 36 + 4 e ^{4}}{2}, x = \frac{- 6 - 36 + 4 e ^{4}}{2}

Verify Solutions:

x = \frac{- 6 + 36 + 4 e ^{4}}{2}

True

, x = \frac{- 6 - 36 + 4 e ^{4}}{2}

False

The solution is

x = \frac{- 6 + 36 + 4 e ^{4}}{2}

lo g_{9} (x) = 0

- 6 = 20 lo g_{10} (0.5 - 0.62 x)

x, lo g_{3} (x) = - 3

lo g_{2} (x + 5) + lo g_{2} (4 x + 4) = 7

x^{(2 l o g_{9} (x)) - 1} = 3 x

What is the answer to ln(x)+ln(x+6)=4 ?
The answer to ln(x)+ln(x+6)=4 is x=(-6+sqrt(36+4e^4))/2
Solve for x: ln(x)+ln(x+6)=4
The solution is x=(-6+sqrt(36+4e^4))/2