What is log_{5}((25)/(sqrt(x+7))) ?

The solution to log_{5}((25)/(sqrt(x+7))) is 2-log_{5}(sqrt(x+7))

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simplify log_{5}((25)/(sqrt(x+7)))

simplify

lo g_{5} (\frac{25}{x + 7})

2 - lo g_{5} (x + 7)

Solution steps

lo g_{5} (\frac{25}{x + 7})

Apply log rule:

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

lo g_{5} (\frac{25}{x + 7}) = lo g_{5} (25) - lo g_{5} (x + 7)

= lo g_{5} (25) - lo g_{5} (x + 7)

lo g_{5} (25) = 2

= 2 - lo g_{5} (x + 7)

lo g_{a} (\frac{a B}{C ^{4}})

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

3 lo g_{10} (4) - 1 lo g_{10} (x)

- lo g_{10} (\frac{3}{8})

lo g_{10} (\frac{11 x}{3})

What is log_{5}((25)/(sqrt(x+7))) ?
The solution to log_{5}((25)/(sqrt(x+7))) is 2-log_{5}(sqrt(x+7))