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_{5} (3 x^{2} + 7 x + 3) = 0

ln (x - 1) + ln (x - 2) = ln (7)

1.3648 = 0.6446 ln (x) - 0.5557

3 ln (x) - 2 = 0

c + 5 ln (- 1 + c) = 3.46