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

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

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

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

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

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

Move

ln (3)

to the right side

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

Divide both sides by

- 1

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

Apply log rules

3 - 3 x = \frac{3}{4}

Solve

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

x = \frac{3}{4}

Verify Solutions:

x = \frac{3}{4}

True

The solution is

x = \frac{3}{4}

lo g_{2} (5 x - 7) = 1

lo g_{2} (2 x - 1) + lo g_{2} (x + 1) = 1

lo g_{2.718} (a) = - 110.25

0.37 = lo g_{10} (x)

ln (6 x - 5) = 3

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