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

The answer to ln(x-2)+ln(x-1)=2ln(2) is x=(3+sqrt(17))/2

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

The solution is x=(3+sqrt(17))/2

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

x = \frac{3 + 17}{2}

Decimal Notation

x = 3.56155 \dots

Solution steps

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

Apply log rules

(x - 2) (x - 1) = 4

Solve

(x - 2) (x - 1) = 4 : x = \frac{3 + 17}{2}, x = \frac{3 - 17}{2}

x = \frac{3 + 17}{2}, x = \frac{3 - 17}{2}

Verify Solutions:

x = \frac{3 + 17}{2}

True

, x = \frac{3 - 17}{2}

False

The solution is

x = \frac{3 + 17}{2}

lo g_{2} (\frac{1}{x}) = 4

\frac{1}{8} x = lo g_{2} (x)

(2 x) (ln (x)) - x = 0

x, lo g_{x} (3 x - y) = 2

lo g_{3} (5 x) = 4

What is the answer to ln(x-2)+ln(x-1)=2ln(2) ?
The answer to ln(x-2)+ln(x-1)=2ln(2) is x=(3+sqrt(17))/2
Solve for x: ln(x-2)+ln(x-1)=2ln(2)
The solution is x=(3+sqrt(17))/2