What is the answer to 2ln(8x+9)-1=-5 ?

The answer to 2ln(8x+9)-1=-5 is x=(1-9e^2)/(8e^2)

Solve for x: 2ln(8x+9)-1=-5

The solution is x=(1-9e^2)/(8e^2)

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2 ln (8 x + 9) - 1 = - 5

x = \frac{1 - 9 e ^{2}}{8 e ^{2}}

Decimal Notation

x = - 1.10808 \dots

Solution steps

2 ln (8 x + 9) - 1 = - 5

Move

1

to the right side

2 ln (8 x + 9) = - 4

Divide both sides by

2

ln (8 x + 9) = - 2

Apply log rules

8 x + 9 = \frac{1}{e ^{2}}

Solve

8 x + 9 = \frac{1}{e ^{2}} : x = \frac{1 - 9 e ^{2}}{8 e ^{2}}

x = \frac{1 - 9 e ^{2}}{8 e ^{2}}

Verify Solutions:

x = \frac{1 - 9 e ^{2}}{8 e ^{2}}

True

The solution is

x = \frac{1 - 9 e ^{2}}{8 e ^{2}}

ln ∣ x ∣ = x

lo g_{3} (x + 6) = 2

lo g_{2} (x + 15) = 4

lo g_{16} (lo g_{2} (x)) = 0.5

lo g_{5} (3 x - 7) = 1

What is the answer to 2ln(8x+9)-1=-5 ?
The answer to 2ln(8x+9)-1=-5 is x=(1-9e^2)/(8e^2)
Solve for x: 2ln(8x+9)-1=-5
The solution is x=(1-9e^2)/(8e^2)