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

The answer to ln(6x)+ln(6)=ln(3x+6) is x= 2/11

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

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

x = \frac{2}{11}

Decimal Notation

x = 0.18181 \dots

Solution steps

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

Apply log rules

36 x = 3 x + 6

Solve

36 x = 3 x + 6 : x = \frac{2}{11}

x = \frac{2}{11}

Verify Solutions:

x = \frac{2}{11}

True

The solution is

x = \frac{2}{11}

3 ln (x + 2) = 9

8 + 3 ln (x) = 2

8 + 3 ln (x) = 4

1 = lo g_{x} (2)

lo g_{3} (x - 2) + 1 = lo g_{3} (2 x - 1)

What is the answer to ln(6x)+ln(6)=ln(3x+6) ?
The answer to ln(6x)+ln(6)=ln(3x+6) is x= 2/11
Solve for x: ln(6x)+ln(6)=ln(3x+6)
The solution is x= 2/11