What is the answer to 2log_{3}(x-1)-log_{3}(x+5)=1 ?

The answer to 2log_{3}(x-1)-log_{3}(x+5)=1 is x=7

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2log_{3}(x-1)-log_{3}(x+5)=1

2 lo g_{3} (x - 1) - lo g_{3} (x + 5) = 1

x = 7

Solution steps

2 lo g_{3} (x - 1) - lo g_{3} (x + 5) = 1

Apply log rules

(x - 1)^{2} = 3 (x + 5)

Solve

(x - 1)^{2} = 3 (x + 5) : x = 7, x = - 2

x = 7, x = - 2

Verify Solutions:

x = 7

True

, x = - 2

False

The solution is

x = 7

ln (\frac{18}{x}) = 4

\frac{1}{2} lo g_{10} (x + 4) = 0

lo g_{9} (x) = lo g_{10} (x)

2 x - 1 = e^{l n (x^{2})}

ln (K) = 26.849

What is the answer to 2log_{3}(x-1)-log_{3}(x+5)=1 ?
The answer to 2log_{3}(x-1)-log_{3}(x+5)=1 is x=7
Solve for x: 2log_{3}(x-1)-log_{3}(x+5)=1
The solution is x=7