What is the answer to log_{10}(x)+log_{10}(x+3)=5 ?

The answer to log_{10}(x)+log_{10}(x+3)=5 is x=(-3+sqrt(400009))/2

Solve for x: log_{10}(x)+log_{10}(x+3)=5

The solution is x=(-3+sqrt(400009))/2

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lo g_{10} (x) + lo g_{10} (x + 3) = 5

x = \frac{- 3 + 400009}{2}

Decimal

x = 314.73132 \dots

Solution steps

lo g_{10} (x) + lo g_{10} (x + 3) = 5

Apply log rules

x (x + 3) = 100000

Solve

x (x + 3) = 100000 : x = \frac{- 3 + 400009}{2}, x = \frac{- 3 - 400009}{2}

x = \frac{- 3 + 400009}{2}, x = \frac{- 3 - 400009}{2}

Verify Solutions:

x = \frac{- 3 + 400009}{2}

True

, x = \frac{- 3 - 400009}{2}

False

The solution is

x = \frac{- 3 + 400009}{2}

lo g_{10} (2 x - 1) = 3 x

lo g_{6} (4 x - 5) = 1

lo g_{x + 5} (2 x^{2} + 5 x + 1) = 2

lo g_{9} (x) + lo g_{9} (12) = \frac{1}{2} lo g_{9} (100)

5 lo g_{3} (x + 1) + 6 = 7

What is the answer to log_{10}(x)+log_{10}(x+3)=5 ?
The answer to log_{10}(x)+log_{10}(x+3)=5 is x=(-3+sqrt(400009))/2
Solve for x: log_{10}(x)+log_{10}(x+3)=5
The solution is x=(-3+sqrt(400009))/2