What is log_{3}((27)/(sqrt(x+5))) ?

The solution to log_{3}((27)/(sqrt(x+5))) is 3-log_{3}(sqrt(x+5))

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simplify log_{3}((27)/(sqrt(x+5)))

simplify

lo g_{3} (\frac{27}{x + 5})

3 - lo g_{3} (x + 5)

Solution steps

lo g_{3} (\frac{27}{x + 5})

Apply log rule:

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

lo g_{3} (\frac{27}{x + 5}) = lo g_{3} (27) - lo g_{3} (x + 5)

= lo g_{3} (27) - lo g_{3} (x + 5)

lo g_{3} (27) = 3

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

\frac{2}{5} lo g_{2} (\frac{2}{5}) + \frac{3}{5} lo g_{2} (\frac{3}{5})

lo g_{10} (3 x y)

lo g_{10} (100 x)

ln (x) + ln (13)

ln (x) + ln (16)

What is log_{3}((27)/(sqrt(x+5))) ?
The solution to log_{3}((27)/(sqrt(x+5))) is 3-log_{3}(sqrt(x+5))