What is log_{3}(9/(sqrt(x-1))) ?

The solution to log_{3}(9/(sqrt(x-1))) is 2-log_{3}(sqrt(x-1))

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simplify log_{3}(9/(sqrt(x-1)))

simplify

lo g_{3} (\frac{9}{x - 1})

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

Solution steps

lo g_{3} (\frac{9}{x - 1})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{3} (\frac{9}{x - 1}) = lo g_{3} (9) - lo g_{3} (x - 1)

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

lo g_{3} (9) = 2

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

ln (\frac{e}{x})

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lo g_{4} (x) - lo g_{4} (y)

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What is log_{3}(9/(sqrt(x-1))) ?
The solution to log_{3}(9/(sqrt(x-1))) is 2-log_{3}(sqrt(x-1))