What is the answer to 3ln(x+2)=-6 ?

The answer to 3ln(x+2)=-6 is x= 1/(e^2)-2

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3ln(x+2)=-6

3 ln (x + 2) = - 6

x = \frac{1}{e ^{2}} - 2

Decimal Notation

x = - 1.86466 \dots

Solution steps

3 ln (x + 2) = - 6

Divide both sides by

3

ln (x + 2) = - 2

Apply log rules

x + 2 = \frac{1}{e ^{2}}

Solve

x + 2 = \frac{1}{e ^{2}} : x = \frac{1}{e ^{2}} - 2

x = \frac{1}{e ^{2}} - 2

Verify Solutions:

x = \frac{1}{e ^{2}} - 2

True

The solution is

x = \frac{1}{e ^{2}} - 2

lo g_{6} (n) = n

- lo g_{\frac{1}{12}} (- x) = - 3

8 + ln (x) = 0

6.1 = - lo g_{10} (x)

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