What is the answer to 3ln(4x+8)-13=-22 ?

The answer to 3ln(4x+8)-13=-22 is x=(1-8e^3)/(4e^3)

Solve for x: 3ln(4x+8)-13=-22

The solution is x=(1-8e^3)/(4e^3)

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3 ln (4 x + 8) - 13 = - 22

x = \frac{1 - 8 e ^{3}}{4 e ^{3}}

Decimal Notation

x = - 1.98755 \dots

Solution steps

3 ln (4 x + 8) - 13 = - 22

Move

13

to the right side

3 ln (4 x + 8) = - 9

Divide both sides by

3

ln (4 x + 8) = - 3

Apply log rules

4 x + 8 = \frac{1}{e ^{3}}

Solve

4 x + 8 = \frac{1}{e ^{3}} : x = \frac{1 - 8 e ^{3}}{4 e ^{3}}

x = \frac{1 - 8 e ^{3}}{4 e ^{3}}

Verify Solutions:

x = \frac{1 - 8 e ^{3}}{4 e ^{3}}

True

The solution is

x = \frac{1 - 8 e ^{3}}{4 e ^{3}}

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

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

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

x = lo g_{10} (x)

ln (5 x - 1) - ln (x) = 3

What is the answer to 3ln(4x+8)-13=-22 ?
The answer to 3ln(4x+8)-13=-22 is x=(1-8e^3)/(4e^3)
Solve for x: 3ln(4x+8)-13=-22
The solution is x=(1-8e^3)/(4e^3)