What is the answer to log_{3}(x-3)+log_{3}(x-1)=1 ?

The answer to log_{3}(x-3)+log_{3}(x-1)=1 is x=4

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log_{3}(x-3)+log_{3}(x-1)=1

lo g_{3} (x - 3) + lo g_{3} (x - 1) = 1

x = 4

Solution steps

lo g_{3} (x - 3) + lo g_{3} (x - 1) = 1

Apply log rules

(x - 3) (x - 1) = 3

Solve

(x - 3) (x - 1) = 3 : x = 4, x = 0

x = 4, x = 0

Verify Solutions:

x = 4

True

, x = 0

False

The solution is

x = 4

1400 = 800 + 200 lo g_{10} (x - 9)

lo g_{3} (x^{2} - 2) = 0

lo g_{a} (2) = 2

2 ln (\frac{900}{900 - x}) = 12

ln (L) = \infty

What is the answer to log_{3}(x-3)+log_{3}(x-1)=1 ?
The answer to log_{3}(x-3)+log_{3}(x-1)=1 is x=4
Solve for x: log_{3}(x-3)+log_{3}(x-1)=1
The solution is x=4