Answer:
The first step is to apply the laws of logarithms and write (In 6 - In x) as a single logarithms.
Solving he equation, x = 3 or x = -2.
Step-by-step explanation:
In (x - 1) = In 6 - In x
To solve this, we first apply the laws of logarithms and write (In 6 - In x) as a single logarithms.
In 6 - In x = In (6 ÷ x) = In (6/x)
In |(x - 1)| = In |(6/x)|
We can then say that
(x - 1) = (6/x)
x(x - 1) = 6
x² - x - 6 = 0
x² - 3x + 2x - 6 = 0
x(x - 3) + 2(x- 3) = 0
(x - 3)(x + 2) = 0
x = 3 or x = -2
Hope this Helps!!!
