What is expand log_{3}((27)/(sqrt(x+7))) ?

The solution to expand log_{3}((27)/(sqrt(x+7))) is 3-log_{3}(sqrt(x+7))

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expand log_{3}((27)/(sqrt(x+7)))

expand

lo g_{3} (\frac{27}{x + 7})

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

Solution steps

lo g_{3} (\frac{27}{x + 7})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{3} (\frac{27}{x + 7}) = lo g_{3} (27) - lo g_{3} (x + 7)

= lo g_{3} (27) - lo g_{3} (x + 7)

lo g_{3} (27) = 3

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

lo g_{10} (\frac{b}{c}) + lo g_{10} (b c)

- lo g_{10} (2.8 \cdot 1 0^{- 10})

x - 2 lo g_{7} (7 x - 5)

lo g_{10} (\frac{x + 5}{x - 1})

lo g_{a} (x^{2} y^{3})

What is expand log_{3}((27)/(sqrt(x+7))) ?
The solution to expand log_{3}((27)/(sqrt(x+7))) is 3-log_{3}(sqrt(x+7))