What is the answer to log_{10}(x+4)+log_{10}(x)=9 ?

The answer to log_{10}(x+4)+log_{10}(x)=9 is x=(-4+sqrt(4000000016))/2

Solve for x: log_{10}(x+4)+log_{10}(x)=9

The solution is x=(-4+sqrt(4000000016))/2

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lo g_{10} (x + 4) + lo g_{10} (x) = 9

x = \frac{- 4 + 4000000016}{2}

Decimal Notation

x = 31620.77666 \dots

Solution steps

lo g_{10} (x + 4) + lo g_{10} (x) = 9

Apply log rules

(x + 4) x = 1000000000

Solve

(x + 4) x = 1000000000 : x = \frac{- 4 + 4000000016}{2}, x = \frac{- 4 - 4000000016}{2}

x = \frac{- 4 + 4000000016}{2}, x = \frac{- 4 - 4000000016}{2}

Verify Solutions:

x = \frac{- 4 + 4000000016}{2}

True

, x = \frac{- 4 - 4000000016}{2}

False

The solution is

x = \frac{- 4 + 4000000016}{2}

4 ln (2 x + 9) + 5 = 29

lo g_{x} (9 x - 20) = 2

x, ln (x^{2}) = 4

ln (4 x - 1) - 3 ln (9) = 2 ln (3)

lo g_{3} (25 - x^{2}) = 2

What is the answer to log_{10}(x+4)+log_{10}(x)=9 ?
The answer to log_{10}(x+4)+log_{10}(x)=9 is x=(-4+sqrt(4000000016))/2
Solve for x: log_{10}(x+4)+log_{10}(x)=9
The solution is x=(-4+sqrt(4000000016))/2