What is the answer to 4ln(6x+1)-1=-13 ?

The answer to 4ln(6x+1)-1=-13 is x=(1-e^3)/(6e^3)

Solve for x: 4ln(6x+1)-1=-13

The solution is x=(1-e^3)/(6e^3)

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4 ln (6 x + 1) - 1 = - 13

x = \frac{1 - e ^{3}}{6 e ^{3}}

Decimal

x = - 0.15836 \dots

Solution steps

4 ln (6 x + 1) - 1 = - 13

Move

1

to the right side

4 ln (6 x + 1) = - 12

Divide both sides by

4

ln (6 x + 1) = - 3

Apply log rules

6 x + 1 = \frac{1}{e ^{3}}

Solve

6 x + 1 = \frac{1}{e ^{3}} : x = \frac{1 - e ^{3}}{6 e ^{3}}

x = \frac{1 - e ^{3}}{6 e ^{3}}

Verify Solutions:

x = \frac{1 - e ^{3}}{6 e ^{3}}

True

The solution is

x = \frac{1 - e ^{3}}{6 e ^{3}}

lo g_{10} (x) + 1 = 3

lo g_{x} (3) = 243

4 ln (x) = 16

6 lo g_{10} (7 n) = 6

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

What is the answer to 4ln(6x+1)-1=-13 ?
The answer to 4ln(6x+1)-1=-13 is x=(1-e^3)/(6e^3)
Solve for x: 4ln(6x+1)-1=-13
The solution is x=(1-e^3)/(6e^3)