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

The answer to ln(x)-ln(3x-3)=ln(4) is x= 12/11

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

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

x = \frac{12}{11}

Solution steps

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

Add

ln (3 x - 3)

to both sides

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

Simplify

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

Apply log rules

x = 4 (3 x - 3)

Solve

x = 4 (3 x - 3) : x = \frac{12}{11}

x = \frac{12}{11}

Verify Solutions:

x = \frac{12}{11}

True

The solution is

x = \frac{12}{11}

2 lo g_{10} (x) - lo g_{10} (3 x) = 0

ln (x) = 5.320363224

lo g_{10} (x + 90) = 3 - lo g_{10} (x)

8 ln (9) = ln (a) + (13 - 1) ln (3)

1 = lo g_{\frac{1}{2}} (x)

What is the answer to ln(x)-ln(3x-3)=ln(4) ?
The answer to ln(x)-ln(3x-3)=ln(4) is x= 12/11
Solve for x: ln(x)-ln(3x-3)=ln(4)
The solution is x= 12/11