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

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

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

simplify

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

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)

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