What is the answer to log_{3}(x-3)+log_{3}(x+5)=2 ?

The answer to log_{3}(x-3)+log_{3}(x+5)=2 is x=4

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log_{3}(x-3)+log_{3}(x+5)=2

lo g_{3} (x - 3) + lo g_{3} (x + 5) = 2

x = 4

Solution steps

lo g_{3} (x - 3) + lo g_{3} (x + 5) = 2

Apply log rules

(x - 3) (x + 5) = 9

Solve

(x - 3) (x + 5) = 9 : x = 4, x = - 6

x = 4, x = - 6

Verify Solutions:

x = 4

True

, x = - 6

False

The solution is

x = 4

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

ln (x + 1) + \frac{x}{x + 1} = 0

9.24 = lo g_{1} (x)

lo g_{x} (2 x + 15) = 2

ln (x) = 3.967503513

What is the answer to log_{3}(x-3)+log_{3}(x+5)=2 ?
The answer to log_{3}(x-3)+log_{3}(x+5)=2 is x=4
Solve for x: log_{3}(x-3)+log_{3}(x+5)=2
The solution is x=4