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

The answer to log_{10}(x)+log_{10}(x+5)=3 is x=(-5+5sqrt(161))/2

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

The solution is x=(-5+5sqrt(161))/2

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

x = \frac{- 5 + 5 161}{2}

Decimal Notation

x = 29.22144 \dots

Solution steps

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

Apply log rules

x (x + 5) = 1000

Solve

x (x + 5) = 1000 : x = \frac{- 5 + 5 161}{2}, x = \frac{- 5 - 5 161}{2}

x = \frac{- 5 + 5 161}{2}, x = \frac{- 5 - 5 161}{2}

Verify Solutions:

x = \frac{- 5 + 5 161}{2}

True

, x = \frac{- 5 - 5 161}{2}

False

The solution is

x = \frac{- 5 + 5 161}{2}

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

lo g_{2} (x) = lo g_{2} (5)

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

x, 2 lo g_{3} (x + 28) = 6

ln (x) = 5.912558418

What is the answer to log_{10}(x)+log_{10}(x+5)=3 ?
The answer to log_{10}(x)+log_{10}(x+5)=3 is x=(-5+5sqrt(161))/2
Solve for x: log_{10}(x)+log_{10}(x+5)=3
The solution is x=(-5+5sqrt(161))/2