What is log_{5}((25)/(sqrt(x+3))) ?

The solution to log_{5}((25)/(sqrt(x+3))) is 2-log_{5}(sqrt(x+3))

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simplify log_{5}((25)/(sqrt(x+3)))

simplify

lo g_{5} (\frac{25}{x + 3})

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

Solution steps

lo g_{5} (\frac{25}{x + 3})

Apply log rule:

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

lo g_{5} (\frac{25}{x + 3}) = lo g_{5} (25) - lo g_{5} (x + 3)

= lo g_{5} (25) - lo g_{5} (x + 3)

lo g_{5} (25) = 2

= 2 - lo g_{5} (x + 3)

2 ln (ln (e^{z}) ln (e^{y})) - ln (x^{2})

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

4.74 + lo g_{10} (\frac{0.2}{0.3})

lo g_{b} (\frac{x ^{3} y}{z ^{7}})

lo g_{2} (\frac{2}{x})

What is log_{5}((25)/(sqrt(x+3))) ?
The solution to log_{5}((25)/(sqrt(x+3))) is 2-log_{5}(sqrt(x+3))