What is the answer to log_{10}(x)+log_{10}(x+2)=3 ?

The answer to log_{10}(x)+log_{10}(x+2)=3 is x=-1+sqrt(1001)

Solve for x: log_{10}(x)+log_{10}(x+2)=3

The solution is x=-1+sqrt(1001)

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

x = - 1 + 1001

Decimal Notation

x = 30.63858 \dots

Solution steps

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

Apply log rules

x (x + 2) = 1000

Solve

x (x + 2) = 1000 : x = - 1 + 1001, x = - 1 - 1001

x = - 1 + 1001, x = - 1 - 1001

Verify Solutions:

x = - 1 + 1001

True

, x = - 1 - 1001

False

The solution is

x = - 1 + 1001

ln (x + 3) + ln (x) - ln (2 x) = 3

lo g_{6} (9 x) - lo g_{6} (4) = 2

lo g_{10} (x) = - x + 40

ln (1 - 2 x) = ln (2 - x)

lo g_{3} (5 x - 7) = 0

What is the answer to log_{10}(x)+log_{10}(x+2)=3 ?
The answer to log_{10}(x)+log_{10}(x+2)=3 is x=-1+sqrt(1001)
Solve for x: log_{10}(x)+log_{10}(x+2)=3
The solution is x=-1+sqrt(1001)