What is log_{7}(x^2-5)-log_{7}(x+1) ?

The solution to log_{7}(x^2-5)-log_{7}(x+1) is log_{7}((x^2-5)/(x+1))

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simplify log_{7}(x^2-5)-log_{7}(x+1)

simplify

lo g_{7} (x^{2} - 5) - lo g_{7} (x + 1)

lo g_{7} (\frac{x ^{2} - 5}{x + 1})

Solution steps

lo g_{7} (x^{2} - 5) - lo g_{7} (x + 1)

Apply log rule:

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

lo g_{7} (x^{2} - 5) - lo g_{7} (x + 1) = lo g_{7} (\frac{x ^{2} - 5}{x + 1})

= lo g_{7} (\frac{x ^{2} - 5}{x + 1})

ln (\frac{760}{115})

lo g_{10} (\frac{y x ^{3}}{z})

lo g_{7} (\frac{r ^{4}}{s ^{5} t})

lo g_{a} (\frac{x y ^{3}}{z ^{2}})

What is log_{7}(x^2-5)-log_{7}(x+1) ?
The solution to log_{7}(x^2-5)-log_{7}(x+1) is log_{7}((x^2-5)/(x+1))