What is the answer to 2log_{3}(x)-log_{3}(x+6)=0 ?

The answer to 2log_{3}(x)-log_{3}(x+6)=0 is x=3

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2log_{3}(x)-log_{3}(x+6)=0

2 lo g_{3} (x) - lo g_{3} (x + 6) = 0

x = 3

Solution steps

2 lo g_{3} (x) - lo g_{3} (x + 6) = 0

Apply log rules

x^{2} = x + 6

Solve

x^{2} = x + 6 : x = 3, x = - 2

x = 3, x = - 2

Verify Solutions:

x = 3

True

, x = - 2

False

The solution is

x = 3

x, 3 ln (x) = 6

ln (x^{10}) = x

lo g_{10} (x + 3) - lo g_{10} (x) = 2

2 lo g_{10} (x) = 10

lo g_{2} (2 x + 7) = 3

What is the answer to 2log_{3}(x)-log_{3}(x+6)=0 ?
The answer to 2log_{3}(x)-log_{3}(x+6)=0 is x=3
Solve for x: 2log_{3}(x)-log_{3}(x+6)=0
The solution is x=3