What is the answer to ln(3)=ln(7x-2)-2ln(x) ?

The answer to ln(3)=ln(7x-2)-2ln(x) is x=2,x= 1/3

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ln(3)=ln(7x-2)-2ln(x)

ln (3) = ln (7 x - 2) - 2 ln (x)

x = 2, x = \frac{1}{3}

Solution steps

ln (3) = ln (7 x - 2) - 2 ln (x)

Apply log rules

3 x^{2} = 7 x - 2

Solve

3 x^{2} = 7 x - 2 : x = 2, x = \frac{1}{3}

x = 2, x = \frac{1}{3}

Verify Solutions:

x = 2

True

, x = \frac{1}{3}

True

The solutions are

x = 2, x = \frac{1}{3}

lo g_{3} (8 x) - lo g_{3} (4) = 4

6 = 7.2 + lo g_{10} (x)

lo g_{16} (x) = (lo g_{4} (x^{2}))

20 \cdot lo g_{10} (x) = - 3

lo g_{10} (x) = 3.58

What is the answer to ln(3)=ln(7x-2)-2ln(x) ?
The answer to ln(3)=ln(7x-2)-2ln(x) is x=2,x= 1/3
Solve for x: ln(3)=ln(7x-2)-2ln(x)
The solution is x=2,x= 1/3