What is the answer to log_{10}(x)+log_{10}(x+3)=3 ?

The answer to log_{10}(x)+log_{10}(x+3)=3 is x=(-3+sqrt(4009))/2

Solve for x: log_{10}(x)+log_{10}(x+3)=3

The solution is x=(-3+sqrt(4009))/2

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

x = \frac{- 3 + 4009}{2}

Decimal Notation

x = 30.15833 \dots

Solution steps

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

Apply log rules

x (x + 3) = 1000

Solve

x (x + 3) = 1000 : x = \frac{- 3 + 4009}{2}, x = \frac{- 3 - 4009}{2}

x = \frac{- 3 + 4009}{2}, x = \frac{- 3 - 4009}{2}

Verify Solutions:

x = \frac{- 3 + 4009}{2}

True

, x = \frac{- 3 - 4009}{2}

False

The solution is

x = \frac{- 3 + 4009}{2}

lo g_{2} (lo g_{3} (x)) = 4

lo g_{3} (x - 1) = 0

ln (x) = 3

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

lo g_{x} (3 x + 15) = 5

What is the answer to log_{10}(x)+log_{10}(x+3)=3 ?
The answer to log_{10}(x)+log_{10}(x+3)=3 is x=(-3+sqrt(4009))/2
Solve for x: log_{10}(x)+log_{10}(x+3)=3
The solution is x=(-3+sqrt(4009))/2