What is expand log_{5}((125)/(sqrt(x+5))) ?

The solution to expand log_{5}((125)/(sqrt(x+5))) is 3-log_{5}(sqrt(x+5))

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expand log_{5}((125)/(sqrt(x+5)))

expand

lo g_{5} (\frac{125}{x + 5})

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

Solution steps

lo g_{5} (\frac{125}{x + 5})

Apply log rule:

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

lo g_{5} (\frac{125}{x + 5}) = lo g_{5} (125) - lo g_{5} (x + 5)

= lo g_{5} (125) - lo g_{5} (x + 5)

lo g_{5} (125) = 3

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

ln (\frac{1 - a x}{2})

lo g_{2} (\frac{5}{50})

lo g_{10} (\frac{4 x ^{3}}{y ( x - 2 ) ^{6}})

- lo g_{10} (8.4 \cdot 1 0^{- 10})

5 lo g_{m} (w) - \frac{1}{5} lo g_{m} (z) + 7 lo g_{m} (y)

What is expand log_{5}((125)/(sqrt(x+5))) ?
The solution to expand log_{5}((125)/(sqrt(x+5))) is 3-log_{5}(sqrt(x+5))