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

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

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2log_{3}(x)-log_{3}(x-2)=2

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

x = 6, x = 3

Solution steps

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

Apply log rules

x^{2} = 9 (x - 2)

Solve

x^{2} = 9 (x - 2) : x = 6, x = 3

x = 6, x = 3

Verify Solutions:

x = 6

True

, x = 3

True

The solutions are

x = 6, x = 3

lo g_{4} (x - 1) + lo g_{4} (x + 2) = 1

lo g_{2} (x) = 4 - 4 lo g_{x} (2)

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

ln (x + 3) = 4

ln (x) = 8

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