What is the answer to ln(3x+6)-ln(12x)=0 ?

The answer to ln(3x+6)-ln(12x)=0 is x= 2/3

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ln(3x+6)-ln(12x)=0

ln (3 x + 6) - ln (12 x) = 0

x = \frac{2}{3}

Decimal

x = 0.66666 \dots

Solution steps

ln (3 x + 6) - ln (12 x) = 0

Add

ln (12 x)

to both sides

ln (3 x + 6) - ln (12 x) + ln (12 x) = 0 + ln (12 x)

Simplify

ln (3 x + 6) = ln (12 x)

Apply log rules

3 x + 6 = 12 x

Solve

3 x + 6 = 12 x : x = \frac{2}{3}

x = \frac{2}{3}

Verify Solutions:

x = \frac{2}{3}

True

The solution is

x = \frac{2}{3}

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

5 - lo g_{3} (x - 1) = 0

lo g_{x} (\frac{1}{1000}) = - 3

lo g_{10} (x + 9) = 1 - lo g_{10} (x)

20 = 20 lo g_{10} (x)

What is the answer to ln(3x+6)-ln(12x)=0 ?
The answer to ln(3x+6)-ln(12x)=0 is x= 2/3
Solve for x: ln(3x+6)-ln(12x)=0
The solution is x= 2/3