What is the answer to ln(x+2)-ln(x)=ln(12) ?

The answer to ln(x+2)-ln(x)=ln(12) is x= 2/11

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ln(x+2)-ln(x)=ln(12)

ln (x + 2) - ln (x) = ln (12)

x = \frac{2}{11}

Decimal Notation

x = 0.18181 \dots

Solution steps

ln (x + 2) - ln (x) = ln (12)

Add

ln (x)

to both sides

ln (x + 2) - ln (x) + ln (x) = ln (12) + ln (x)

Simplify

ln (x + 2) = ln (12) + ln (x)

Apply log rules

x + 2 = 12 x

Solve

x + 2 = 12 x : x = \frac{2}{11}

x = \frac{2}{11}

Verify Solutions:

x = \frac{2}{11}

True

The solution is

x = \frac{2}{11}

5 lo g_{2} (x) = 10

lo g_{5} (y) = 2

lo g_{x} (128) = - 7

x, ln (x) = y + a

x, ln (x) = y + c

What is the answer to ln(x+2)-ln(x)=ln(12) ?
The answer to ln(x+2)-ln(x)=ln(12) is x= 2/11
Solve for x: ln(x+2)-ln(x)=ln(12)
The solution is x= 2/11