What is log_{3}(2x-3)-log_{3}(x+6) ?

The solution to log_{3}(2x-3)-log_{3}(x+6) is log_{3}((2x-3)/(x+6))

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simplify log_{3}(2x-3)-log_{3}(x+6)

simplify

lo g_{3} (2 x - 3) - lo g_{3} (x + 6)

lo g_{3} (\frac{2 x - 3}{x + 6})

Solution steps

lo g_{3} (2 x - 3) - lo g_{3} (x + 6)

Apply log rule:

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

lo g_{3} (2 x - 3) - lo g_{3} (x + 6) = lo g_{3} (\frac{2 x - 3}{x + 6})

= lo g_{3} (\frac{2 x - 3}{x + 6})

lo g_{4} (6) + 2 lo g_{4} (x)

ln (\frac{21}{8})

ln (\frac{x ^{4} y ^{5}}{z ^{3}})

lo g_{7} (10) - lo g_{7} (3) - 4 lo g_{7} (x)

lo g_{10} (4.5 x 1 0^{- 4})

What is log_{3}(2x-3)-log_{3}(x+6) ?
The solution to log_{3}(2x-3)-log_{3}(x+6) is log_{3}((2x-3)/(x+6))