What is the answer to log_{6}(x+8)+log_{6}(x-8)=2 ?

The answer to log_{6}(x+8)+log_{6}(x-8)=2 is x=10

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log_{6}(x+8)+log_{6}(x-8)=2

lo g_{6} (x + 8) + lo g_{6} (x - 8) = 2

x = 10

Solution steps

lo g_{6} (x + 8) + lo g_{6} (x - 8) = 2

Apply log rules

(x + 8) (x - 8) = 36

Solve

(x + 8) (x - 8) = 36 : x = 10, x = - 10

x = 10, x = - 10

Verify Solutions:

x = 10

True

, x = - 10

False

The solution is

x = 10

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

- 7 + lo g_{3} (x + 7) = - 4

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

lo g_{3} (x) = lo g_{9} (x + 6)

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

What is the answer to log_{6}(x+8)+log_{6}(x-8)=2 ?
The answer to log_{6}(x+8)+log_{6}(x-8)=2 is x=10
Solve for x: log_{6}(x+8)+log_{6}(x-8)=2
The solution is x=10