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Popular >

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

Solution

lo g_{e} (x) + lo g_{e} (x + 2) = 3

Solution

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

+1

Solution steps

lo g_{e} (x) + lo g_{e} (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}

Popular Examples

solvefor y,ln(y)=ln(x)+2 solve for

y, ln (y) = ln (x) + 2

log_{10}(x)+log_{10}(x+10)=3

lo g_{10} (x) + lo g_{10} (x + 10) = 3

ln(ln(sqrt(x-1)))=e

ln (ln (x - 1)) = e

log_{10}(x)=1+log_{10}(3x-4)

lo g_{10} (x) = 1 + lo g_{10} (3 x - 4)

log_{1/2}(5(x-1))=3

lo g_{\frac{1}{2}} (5 (x - 1)) = 3

Frequently Asked Questions (FAQ)

What is the answer to log_{e}(x)+log_{e}(x+2)=3 ?
The answer to log_{e}(x)+log_{e}(x+2)=3 is x=(-2+sqrt(4+4e^3))/2