What is expand log_{5}((25)/(sqrt(x+5))) ?

The solution to expand log_{5}((25)/(sqrt(x+5))) is 2-log_{5}(sqrt(x+5))

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expand log_{5}((25)/(sqrt(x+5)))

expand

lo g_{5} (\frac{25}{x + 5})

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

Solution steps

lo g_{5} (\frac{25}{x + 5})

Apply log rule:

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

lo g_{5} (\frac{25}{x + 5}) = lo g_{5} (25) - lo g_{5} (x + 5)

= lo g_{5} (25) - lo g_{5} (x + 5)

lo g_{5} (25) = 2

= 2 - lo g_{5} (x + 5)

lo g_{2} (\frac{3 y}{z})

lo g_{10} (\frac{z ^{3} x ^{4}}{y})

ln (9 x^{3})

lo g_{10} (2 x) lo g_{10} (5) - 1 - 2 lo g_{10} (\frac{5}{2})

ln (x^{3} + 1) - 2 ln (x - 1)

What is expand log_{5}((25)/(sqrt(x+5))) ?
The solution to expand log_{5}((25)/(sqrt(x+5))) is 2-log_{5}(sqrt(x+5))