What is 3log_{5}(a)-3log_{5}(b) ?

The solution to 3log_{5}(a)-3log_{5}(b) is log_{5}((a^3)/(b^3))

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simplify 3log_{5}(a)-3log_{5}(b)

simplify

3 lo g_{5} (a) - 3 lo g_{5} (b)

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

Solution steps

3 lo g_{5} (a) - 3 lo g_{5} (b)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{5} (a) = lo g_{5} (a^{3})

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{5} (b) = lo g_{5} (b^{3})

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

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

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

= lo g_{5} (\frac{a ^{3}}{b ^{3}})

\frac{1}{2} ln (a) + 2 ln (c)

\frac{14 \cdot 0.89}{0.58} \cdot ln (\frac{1}{1 - 0.1})

3 lo g_{3} (x) + 4 lo g_{3} (y)

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

ln (\frac{8}{4})

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