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

The answer to log_{3}((x-1)^2)=2 is x=4,x=-2

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log_{3}((x-1)^2)=2

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

x = 4, x = - 2

Solution steps

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

Apply log rules

(x - 1)^{2} = 9

Solve

(x - 1)^{2} = 9 : x = 4, x = - 2

x = 4, x = - 2

lo g_{3} (x - 4) = 1 + lo g_{9} (x)

ln (1 + x) = 1

ln (4 x) = 9

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

4 ln (x) = ln (x^{4})

What is the answer to log_{3}((x-1)^2)=2 ?
The answer to log_{3}((x-1)^2)=2 is x=4,x=-2
Solve for x: log_{3}((x-1)^2)=2
The solution is x=4,x=-2