What is log_{6}((w^5)/v) ?

The solution to log_{6}((w^5)/v) is 5log_{6}(w)-log_{6}(v)

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simplify log_{6}((w^5)/v)

simplify

lo g_{6} (\frac{w ^{5}}{v})

5 lo g_{6} (w) - lo g_{6} (v)

Solution steps

lo g_{6} (\frac{w ^{5}}{v})

Apply log rule:

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

lo g_{6} (\frac{w ^{5}}{v}) = lo g_{6} (w^{5}) - lo g_{6} (v)

= lo g_{6} (w^{5}) - lo g_{6} (v)

Simplify

lo g_{6} (w^{5}) : 5 lo g_{6} (w)

= 5 lo g_{6} (w) - lo g_{6} (v)

\frac{1}{2} \cdot ln (3)

lo g_{16} (\frac{9 r}{s})

lo g_{10} (a - b) - lo g_{10} (3)

ln (x^{e} e^{x})

ln ∣ x ∣ - 2 ln ∣ x + 1 ∣ + ln ∣ x - 2 ∣ + C

What is log_{6}((w^5)/v) ?
The solution to log_{6}((w^5)/v) is 5log_{6}(w)-log_{6}(v)