What is log_{4}((3x-5)/x) ?

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

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simplify log_{4}((3x-5)/x)

simplify

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

lo g_{4} (3 x - 5) - lo g_{4} (x)

Solution steps

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

Apply log rule:

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

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

= lo g_{4} (3 x - 5) - lo g_{4} (x)

lo g_{10} (\frac{2 a ^{5}}{27})

lo g_{6} (30) - lo g_{6} (10)

- ln (\frac{a}{b})

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