What is the answer to log_{6}(x)+log_{6}(x+9)=2 ?

The answer to log_{6}(x)+log_{6}(x+9)=2 is x=3

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log_{6}(x)+log_{6}(x+9)=2

lo g_{6} (x) + lo g_{6} (x + 9) = 2

x = 3

Solution steps

lo g_{6} (x) + lo g_{6} (x + 9) = 2

Apply log rules

x (x + 9) = 36

Solve

x (x + 9) = 36 : x = 3, x = - 12

x = 3, x = - 12

Verify Solutions:

x = 3

True

, x = - 12

False

The solution is

x = 3

lo g_{x} (64) = - 2

lo g_{2} (x) + lo g_{8} (x) = 4

- 1 = lo g_{2} (x)

lo g_{3} (x + 1) = lo g_{9} (10 x + 1)

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

What is the answer to log_{6}(x)+log_{6}(x+9)=2 ?
The answer to log_{6}(x)+log_{6}(x+9)=2 is x=3
Solve for x: log_{6}(x)+log_{6}(x+9)=2
The solution is x=3