What is the answer to log_{10}(x)+log_{10}(x+7)=8 ?

The answer to log_{10}(x)+log_{10}(x+7)=8 is x=(-7+sqrt(400000049))/2

Solve for x: log_{10}(x)+log_{10}(x+7)=8

The solution is x=(-7+sqrt(400000049))/2

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lo g_{10} (x) + lo g_{10} (x + 7) = 8

x = \frac{- 7 + 400000049}{2}

Decimal Notation

x = 9996.50061 \dots

Solution steps

lo g_{10} (x) + lo g_{10} (x + 7) = 8

Apply log rules

x (x + 7) = 100000000

Solve

x (x + 7) = 100000000 : x = \frac{- 7 + 400000049}{2}, x = \frac{- 7 - 400000049}{2}

x = \frac{- 7 + 400000049}{2}, x = \frac{- 7 - 400000049}{2}

Verify Solutions:

x = \frac{- 7 + 400000049}{2}

True

, x = \frac{- 7 - 400000049}{2}

False

The solution is

x = \frac{- 7 + 400000049}{2}

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

2 lo g_{10} (2 - x) - lo g_{10} (x + 5) = 1

lo g_{4} (3 x - 6) = lo g_{4} (2 - x)

lo g_{10} (2 x) = (4) + lo g_{10} (3)

lo g_{4} (x - 3) + lo g_{4} (2) = 1

What is the answer to log_{10}(x)+log_{10}(x+7)=8 ?
The answer to log_{10}(x)+log_{10}(x+7)=8 is x=(-7+sqrt(400000049))/2
Solve for x: log_{10}(x)+log_{10}(x+7)=8
The solution is x=(-7+sqrt(400000049))/2