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

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

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

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

x = 3

Solution steps

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

Apply log rules

(x + 9) x = 36

Solve

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

x = 3, x = - 12

Verify Solutions:

x = 3

True

, x = - 12

False

The solution is

x = 3

ln (x^{2}) = 8

ln (x^{2}) = 6

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

lo g_{x} (\frac{1}{8}) = 3

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

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