What is the answer to ln(3x-4)-ln(x-3)=ln(2x) ?

The answer to ln(3x-4)-ln(x-3)=ln(2x) is x=4

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ln(3x-4)-ln(x-3)=ln(2x)

ln (3 x - 4) - ln (x - 3) = ln (2 x)

x = 4

Solution steps

ln (3 x - 4) - ln (x - 3) = ln (2 x)

Add

ln (x - 3)

to both sides

ln (3 x - 4) - ln (x - 3) + ln (x - 3) = ln (2 x) + ln (x - 3)

Simplify

ln (3 x - 4) = ln (2 x) + ln (x - 3)

Apply log rules

3 x - 4 = 2 x (x - 3)

Solve

3 x - 4 = 2 x (x - 3) : x = 4, x = \frac{1}{2}

x = 4, x = \frac{1}{2}

Verify Solutions:

x = 4

True

, x = \frac{1}{2}

False

The solution is

x = 4

ln (\frac{t - 63}{125}) = - 0.07 t

9^{l o g_{3} (x)} x^{3} = 243

ln (T) = 1.56 + 0.82 \cdot ln (22)

0 = ln (0 + x)

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

What is the answer to ln(3x-4)-ln(x-3)=ln(2x) ?
The answer to ln(3x-4)-ln(x-3)=ln(2x) is x=4
Solve for x: ln(3x-4)-ln(x-3)=ln(2x)
The solution is x=4