What is the answer to ln(4x-1)-3ln(9)=2ln(3) ?

The answer to ln(4x-1)-3ln(9)=2ln(3) is x= 3281/2

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ln(4x-1)-3ln(9)=2ln(3)

ln (4 x - 1) - 3 ln (9) = 2 ln (3)

x = \frac{3281}{2}

Decimal Notation

x = 1640.5

Solution steps

ln (4 x - 1) - 3 ln (9) = 2 ln (3)

Move

3 ln (9)

to the right side

ln (4 x - 1) = 2 ln (3) + 3 ln (9)

Apply log rules

4 x - 1 = 6561

Solve

4 x - 1 = 6561 : x = \frac{3281}{2}

x = \frac{3281}{2}

Verify Solutions:

x = \frac{3281}{2}

True

The solution is

x = \frac{3281}{2}

lo g_{3} (25 - x^{2}) = 2

ln (a) = 8 ln (9) - 12 ln (3)

0.064 = - lo g_{10} (x)

lo g_{3} (x^{2} + 8 x) = 2

ln (x + 1) = ln (3 x + 1) - ln (x)

What is the answer to ln(4x-1)-3ln(9)=2ln(3) ?
The answer to ln(4x-1)-3ln(9)=2ln(3) is x= 3281/2
Solve for x: ln(4x-1)-3ln(9)=2ln(3)
The solution is x= 3281/2