What is the answer to log_{3}(x)+log_{3}(x+2)=1 ?

The answer to log_{3}(x)+log_{3}(x+2)=1 is x=1

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log_{3}(x)+log_{3}(x+2)=1

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

x = 1

Solution steps

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

Apply log rules

x (x + 2) = 3

Solve

x (x + 2) = 3 : x = 1, x = - 3

x = 1, x = - 3

Verify Solutions:

x = 1

True

, x = - 3

False

The solution is

x = 1

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

ln (x) + ln (x + 2) = 1

ln (x) + \frac{1}{2} = ln (x)

lo g_{9} (x) = 2

1 = - lo g_{10} (x)

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