What is log_{4}(7/(x^3)) ?

The solution to log_{4}(7/(x^3)) is log_{4}(7)-3log_{4}(x)

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simplify log_{4}(7/(x^3))

simplify

lo g_{4} (\frac{7}{x ^{3}})

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

Solution steps

lo g_{4} (\frac{7}{x ^{3}})

Apply log rule:

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

lo g_{4} (\frac{7}{x ^{3}}) = lo g_{4} (7) - lo g_{4} (x^{3})

= lo g_{4} (7) - lo g_{4} (x^{3})

Simplify

lo g_{4} (x^{3}) : 3 lo g_{4} (x)

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

lo g_{e} (\frac{- 0.15}{0.0075500000000 \dots})

lo g_{10} (\frac{x}{2})

lo g_{7} (x - 2) + lo g_{7} (x + 2)

ln ((x^{3} - 2 x)^{l n (x)})

- ln (\frac{28 e ^{9}}{9})

What is log_{4}(7/(x^3)) ?
The solution to log_{4}(7/(x^3)) is log_{4}(7)-3log_{4}(x)