What is the answer to 4ln(x-1)=-8 ?

The answer to 4ln(x-1)=-8 is x= 1/(e^2)+1

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4ln(x-1)=-8

4 ln (x - 1) = - 8

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

Decimal Notation

x = 1.13533 \dots

Solution steps

4 ln (x - 1) = - 8

Divide both sides by

4

ln (x - 1) = - 2

Apply log rules

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

Solve

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

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

Verify Solutions:

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

True

The solution is

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

3 lo g_{7} (1) = lo g_{7} (1^{n})

ln (x) = 3.11

ln (x) = 3.13

1 = lo g_{7} (x - 2) + lo g_{7} (x + 4)

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