What is the answer to 4ln(x+6)=-8 ?

The answer to 4ln(x+6)=-8 is x= 1/(e^2)-6

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4ln(x+6)=-8

4 ln (x + 6) = - 8

x = \frac{1}{e ^{2}} - 6

Decimal Notation

x = - 5.86466 \dots

Solution steps

4 ln (x + 6) = - 8

Divide both sides by

4

ln (x + 6) = - 2

Apply log rules

x + 6 = \frac{1}{e ^{2}}

Solve

x + 6 = \frac{1}{e ^{2}} : x = \frac{1}{e ^{2}} - 6

x = \frac{1}{e ^{2}} - 6

Verify Solutions:

x = \frac{1}{e ^{2}} - 6

True

The solution is

x = \frac{1}{e ^{2}} - 6

lo g_{3} (x + a) = b

lo g_{3} (4 x - 5) - lo g_{3} (x + 2) = 1

lo g_{3} (x - 9) = x

- 33.10906 = 10 \cdot lo g_{10} (x)

lo g_{10} (x) = 1812913