What is the answer to 6ln(6x+1)+10=-2 ?

The answer to 6ln(6x+1)+10=-2 is x=(1-e^2)/(6e^2)

Solve for x: 6ln(6x+1)+10=-2

The solution is x=(1-e^2)/(6e^2)

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6 ln (6 x + 1) + 10 = - 2

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

Solution steps

6 ln (6 x + 1) + 10 = - 2

Move

10

to the right side

6 ln (6 x + 1) = - 12

Divide both sides by

6

ln (6 x + 1) = - 2

Apply log rules

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

Solve

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

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

Verify Solutions:

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

True

The solution is

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

lo g_{2} ((x + 5)^{4}) = 4

ln (x - 1) = 5

lo g_{x + 4} (9 x + 16) = 2

ln (6.8 x + 2) - 2 = 8

lo g_{10} (3 x) + lo g_{10} (9) = 0

What is the answer to 6ln(6x+1)+10=-2 ?
The answer to 6ln(6x+1)+10=-2 is x=(1-e^2)/(6e^2)
Solve for x: 6ln(6x+1)+10=-2
The solution is x=(1-e^2)/(6e^2)