What is log_{b}((2x^3)/5) ?

The solution to log_{b}((2x^3)/5) is log_{b}(2)+3log_{b}(x)-log_{b}(5)

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simplify log_{b}((2x^3)/5)

simplify

lo g_{b} (\frac{2 x ^{3}}{5})

lo g_{b} (2) + 3 lo g_{b} (x) - lo g_{b} (5)

Solution steps

lo g_{b} (\frac{2 x ^{3}}{5})

Apply log rule:

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

lo g_{b} (\frac{2 x ^{3}}{5}) = lo g_{b} (2 x^{3}) - lo g_{b} (5)

= lo g_{b} (2 x^{3}) - lo g_{b} (5)

Simplify

lo g_{b} (2 x^{3}) : lo g_{b} (2) + 3 lo g_{b} (x)

= lo g_{b} (2) + 3 lo g_{b} (x) - lo g_{b} (5)

lo g_{10} (\frac{x}{z ^{4}})

(ln (e^{s i n (x)}))^{2}

ln (\frac{x}{8})

ln (9 x)

ln (\frac{4}{5 - 2 x})

What is log_{b}((2x^3)/5) ?
The solution to log_{b}((2x^3)/5) is log_{b}(2)+3log_{b}(x)-log_{b}(5)