What is the answer to log_{3}(5x-3)-log_{3}(3x)=1 ?

The answer to log_{3}(5x-3)-log_{3}(3x)=1 is No Solution for x\in\mathbb{R}

Solve for x: log_{3}(5x-3)-log_{3}(3x)=1

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

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lo g_{3} (5 x - 3) - lo g_{3} (3 x) = 1

No Solution for x \in R

Solution steps

lo g_{3} (5 x - 3) - lo g_{3} (3 x) = 1

Add

lo g_{3} (3 x)

to both sides

lo g_{3} (5 x - 3) - lo g_{3} (3 x) + lo g_{3} (3 x) = 1 + lo g_{3} (3 x)

Simplify

lo g_{3} (5 x - 3) = 1 + lo g_{3} (3 x)

Apply log rules

5 x - 3 = 9 x

Solve

5 x - 3 = 9 x : x = - \frac{3}{4}

x = - \frac{3}{4}

Verify Solutions:

x = - \frac{3}{4}

False

The solution is

No Solution for x \in R

ln ((7 x - 9)^{5}) = 30

x, ln (x) = u ln (u) - u

25 = c + e^{l n (\frac{5}{c})}

\frac{1}{2} ln (x) - ln (2) = 0

3 lo g_{6} (x) = lo g_{6} (8)

What is the answer to log_{3}(5x-3)-log_{3}(3x)=1 ?
The answer to log_{3}(5x-3)-log_{3}(3x)=1 is No Solution for x\in\mathbb{R}
Solve for x: log_{3}(5x-3)-log_{3}(3x)=1
The solution is No Solution for x\in\mathbb{R}