What is log_{5}(sqrt(x))-log_{5}(x^4) ?

The solution to log_{5}(sqrt(x))-log_{5}(x^4) is log_{5}((sqrt(x))/(x^4))

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simplify log_{5}(sqrt(x))-log_{5}(x^4)

simplify

lo g_{5} (x) - lo g_{5} (x^{4})

lo g_{5} (\frac{x}{x ^{4}})

Solution steps

lo g_{5} (x) - lo g_{5} (x^{4})

Apply log rule:

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

lo g_{5} (x) - lo g_{5} (x^{4}) = lo g_{5} (\frac{x}{x ^{4}})

= lo g_{5} (\frac{x}{x ^{4}})

ln (\frac{5 x}{6})

f (x) = lo g_{7} (9 x)

f (x) = ln (x^{7} 6 - x)

ln (\frac{0.25}{0.22})

What is log_{5}(sqrt(x))-log_{5}(x^4) ?
The solution to log_{5}(sqrt(x))-log_{5}(x^4) is log_{5}((sqrt(x))/(x^4))