What is the answer to ln(x+6)-ln(2)=-1 ?

The answer to ln(x+6)-ln(2)=-1 is x= 2/e-6

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ln(x+6)-ln(2)=-1

ln (x + 6) - ln (2) = - 1

x = \frac{2}{e} - 6

Decimal Notation

x = - 5.26424 \dots

Solution steps

ln (x + 6) - ln (2) = - 1

Move

ln (2)

to the right side

ln (x + 6) = - 1 + ln (2)

Apply log rules

x + 6 = \frac{2}{e}

Solve

x + 6 = \frac{2}{e} : x = \frac{2}{e} - 6

x = \frac{2}{e} - 6

Verify Solutions:

x = \frac{2}{e} - 6

True

The solution is

x = \frac{2}{e} - 6

2 ln (3 x) + 2 = 0

lo g_{x} (27) = - \frac{1}{3}

3 - 5 ln (x) = 7

- 9.7 = - 1.42 ln (x)

lo g_{2} (x - 5) + lo g_{2} (x + 10) = 4

What is the answer to ln(x+6)-ln(2)=-1 ?
The answer to ln(x+6)-ln(2)=-1 is x= 2/e-6
Solve for x: ln(x+6)-ln(2)=-1
The solution is x= 2/e-6