What is the answer to log_{3}(x+3)+log_{3}(x+5)=1 ?

The answer to log_{3}(x+3)+log_{3}(x+5)=1 is x=-2

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log_{3}(x+3)+log_{3}(x+5)=1

lo g_{3} (x + 3) + lo g_{3} (x + 5) = 1

x = - 2

Solution steps

lo g_{3} (x + 3) + lo g_{3} (x + 5) = 1

Apply log rules

(x + 3) (x + 5) = 3

Solve

(x + 3) (x + 5) = 3 : x = - 2, x = - 6

x = - 2, x = - 6

Verify Solutions:

x = - 2

True

, x = - 6

False

The solution is

x = - 2

1 - ln (x) = 0

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

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

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

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

What is the answer to log_{3}(x+3)+log_{3}(x+5)=1 ?
The answer to log_{3}(x+3)+log_{3}(x+5)=1 is x=-2
Solve for x: log_{3}(x+3)+log_{3}(x+5)=1
The solution is x=-2