What is the answer to log_{3}(3x-12)-log_{3}(x)=2 ?

The answer to log_{3}(3x-12)-log_{3}(x)=2 is No Solution for x\in\mathbb{R}

Solve for x: log_{3}(3x-12)-log_{3}(x)=2

The solution is No Solution for x\in\mathbb{R}

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lo g_{3} (3 x - 12) - lo g_{3} (x) = 2

No Solution for x \in R

Solution steps

lo g_{3} (3 x - 12) - lo g_{3} (x) = 2

Add

lo g_{3} (x)

to both sides

lo g_{3} (3 x - 12) - lo g_{3} (x) + lo g_{3} (x) = 2 + lo g_{3} (x)

Simplify

lo g_{3} (3 x - 12) = 2 + lo g_{3} (x)

Apply log rules

3 x - 12 = 9 x

Solve

3 x - 12 = 9 x : x = - 2

x = - 2

Verify Solutions:

x = - 2

False

The solution is

No Solution for x \in R

lo g_{10} (x) = 2.983

lo g_{6} (8 x) - 4 lo g_{6} (2) = 0

ln (3 x - 13) = 8

ln (3 x - 13) = 9

ln (3 x - 13) = 7

What is the answer to log_{3}(3x-12)-log_{3}(x)=2 ?
The answer to log_{3}(3x-12)-log_{3}(x)=2 is No Solution for x\in\mathbb{R}
Solve for x: log_{3}(3x-12)-log_{3}(x)=2
The solution is No Solution for x\in\mathbb{R}