What is log_{7}(sqrt(x))-log_{7}(x^6) ?

The solution to log_{7}(sqrt(x))-log_{7}(x^6) is log_{7}((sqrt(x))/(x^6))

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simplify log_{7}(sqrt(x))-log_{7}(x^6)

simplify

lo g_{7} (x) - lo g_{7} (x^{6})

lo g_{7} (\frac{x}{x ^{6}})

Solution steps

lo g_{7} (x) - lo g_{7} (x^{6})

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^{6}) = lo g_{7} (\frac{x}{x ^{6}})

= lo g_{7} (\frac{x}{x ^{6}})

4 ln (x) - \frac{1}{9} ln (y)

lo g_{3} (2 x)

2 lo g_{4} (y) + 5 lo g_{4} (x) - \frac{1}{2} lo g_{4} (z)

lo g_{7} (343 x)

\frac{1}{2} (lo g_{6} (s) + lo g_{6} (t))

What is log_{7}(sqrt(x))-log_{7}(x^6) ?
The solution to log_{7}(sqrt(x))-log_{7}(x^6) is log_{7}((sqrt(x))/(x^6))