What is log_{3}(9/(sqrt(x+7))) ?

The solution to log_{3}(9/(sqrt(x+7))) is 2-log_{3}(sqrt(x+7))

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simplify log_{3}(9/(sqrt(x+7)))

simplify

lo g_{3} (\frac{9}{x + 7})

2 - lo g_{3} (x + 7)

Solution steps

lo g_{3} (\frac{9}{x + 7})

Apply log rule:

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

lo g_{3} (\frac{9}{x + 7}) = lo g_{3} (9) - lo g_{3} (x + 7)

= lo g_{3} (9) - lo g_{3} (x + 7)

lo g_{3} (9) = 2

= 2 - lo g_{3} (x + 7)

3 lo g_{10} (4) - 5 lo g_{10} (2) + lo g_{10} (6)

ln (x e^{x^{2}})

ln (x) + ln (8)

\frac{1}{4} ln (3)

ln (\frac{3}{10})

What is log_{3}(9/(sqrt(x+7))) ?
The solution to log_{3}(9/(sqrt(x+7))) is 2-log_{3}(sqrt(x+7))