What is the answer to log_{10}(x)+log_{10}(x+5)=6 ?

The answer to log_{10}(x)+log_{10}(x+5)=6 is x=(-5+5sqrt(160001))/2

Solve for x: log_{10}(x)+log_{10}(x+5)=6

The solution is x=(-5+5sqrt(160001))/2

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lo g_{10} (x) + lo g_{10} (x + 5) = 6

x = \frac{- 5 + 5 160001}{2}

Decimal

x = 997.50312 \dots

Solution steps

lo g_{10} (x) + lo g_{10} (x + 5) = 6

Apply log rules

x (x + 5) = 1000000

Solve

x (x + 5) = 1000000 : x = \frac{- 5 + 5 160001}{2}, x = \frac{- 5 - 5 160001}{2}

x = \frac{- 5 + 5 160001}{2}, x = \frac{- 5 - 5 160001}{2}

Verify Solutions:

x = \frac{- 5 + 5 160001}{2}

True

, x = \frac{- 5 - 5 160001}{2}

False

The solution is

x = \frac{- 5 + 5 160001}{2}

lo g_{3} (x) = 8

y, - y = lo g_{10} (x)

lo g_{10} (x) = 2

lo g_{4} (17 x - 4) = 3

lo g_{10} (x) = \frac{5}{2}

What is the answer to log_{10}(x)+log_{10}(x+5)=6 ?
The answer to log_{10}(x)+log_{10}(x+5)=6 is x=(-5+5sqrt(160001))/2
Solve for x: log_{10}(x)+log_{10}(x+5)=6
The solution is x=(-5+5sqrt(160001))/2