What is the answer to log_{3}(x-6)+log_{3}(x)=3 ?

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

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log_{3}(x-6)+log_{3}(x)=3

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

x = 9

Solution steps

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

Apply log rules

(x - 6) x = 27

Solve

(x - 6) x = 27 : x = 9, x = - 3

x = 9, x = - 3

Verify Solutions:

x = 9

True

, x = - 3

False

The solution is

x = 9

4.76 = - lo g_{10} (x)

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

ln (x^{2}) = 5

lo g_{5} (x + 1) = lo g_{5} (6)

lo g_{2 x - 1} (4.5 x) = 2

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