What is the answer to 4ln(6x-6)-14=-22 ?

The answer to 4ln(6x-6)-14=-22 is x=(1+6e^2)/(6e^2)

Solve for x: 4ln(6x-6)-14=-22

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

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4 ln (6 x - 6) - 14 = - 22

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

Decimal Notation

x = 1.02255 \dots

Solution steps

4 ln (6 x - 6) - 14 = - 22

Move

14

to the right side

4 ln (6 x - 6) = - 8

Divide both sides by

4

ln (6 x - 6) = - 2

Apply log rules

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

Solve

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

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

Verify Solutions:

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

True

The solution is

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

ln (x^{2}) = 7

lo g_{x} (3) = \frac{1}{6}

x^{1 + l o g_{7} (x)} = 7 x

lo g_{10} (33 - x) = 1 + lo g_{10} (x)

3 lo g_{x} (3) = 8 - 4 lo g_{3} (x)

What is the answer to 4ln(6x-6)-14=-22 ?
The answer to 4ln(6x-6)-14=-22 is x=(1+6e^2)/(6e^2)
Solve for x: 4ln(6x-6)-14=-22
The solution is x=(1+6e^2)/(6e^2)