What is log_{7}(sqrt(x))-log_{7}(x^5) ?

The solution to log_{7}(sqrt(x))-log_{7}(x^5) is log_{7}((sqrt(x))/(x^5))

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simplify log_{7}(sqrt(x))-log_{7}(x^5)

simplify

lo g_{7} (x) - lo g_{7} (x^{5})

lo g_{7} (\frac{x}{x ^{5}})

Solution steps

lo g_{7} (x) - lo g_{7} (x^{5})

Apply log rule:

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

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

= lo g_{7} (\frac{x}{x ^{5}})

lo g_{6} (12) - lo g_{6} (3)

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

\frac{1}{3} lo g_{b} (x) + 3 lo g_{b} (y) - 4 lo g_{b} (x)

ln (4) + \frac{1}{3} ln (8)

\frac{1}{2} lo g_{10} (c) + 3 lo g_{10} (d)

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