What is log_{a}(5x-4)-log_{a}(3x+8) ?

The solution to log_{a}(5x-4)-log_{a}(3x+8) is log_{a}((5x-4)/(3x+8))

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simplify log_{a}(5x-4)-log_{a}(3x+8)

simplify

lo g_{a} (5 x - 4) - lo g_{a} (3 x + 8)

lo g_{a} (\frac{5 x - 4}{3 x + 8})

Solution steps

lo g_{a} (5 x - 4) - lo g_{a} (3 x + 8)

Apply log rule:

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

lo g_{a} (5 x - 4) - lo g_{a} (3 x + 8) = lo g_{a} (\frac{5 x - 4}{3 x + 8})

= lo g_{a} (\frac{5 x - 4}{3 x + 8})

ln (\frac{625}{25})

\frac{2}{3} (lo g_{10} (E) - lo g_{10} (0.7))

ln (\frac{- 3.95 + 8.05}{31.8})

ln (x + 2) + ln (3)

lo g_{2} (\frac{16}{x - 1})

What is log_{a}(5x-4)-log_{a}(3x+8) ?
The solution to log_{a}(5x-4)-log_{a}(3x+8) is log_{a}((5x-4)/(3x+8))