What is expand 3log_{5}(u)+4log_{5}(v) ?

The solution to expand 3log_{5}(u)+4log_{5}(v) is log_{5}(u^3v^4)

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expand 3log_{5}(u)+4log_{5}(v)

expand

3 lo g_{5} (u) + 4 lo g_{5} (v)

lo g_{5} (u^{3} v^{4})

Solution steps

3 lo g_{5} (u) + 4 lo g_{5} (v)

Apply log rule:

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

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

= lo g_{5} (u^{3}) + 4 lo g_{5} (v)

Apply log rule:

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

4 lo g_{5} (v) = lo g_{5} (v^{4})

= lo g_{5} (u^{3}) + lo g_{5} (v^{4})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{5} (u^{3}) + lo g_{5} (v^{4}) = lo g_{5} (u^{3} v^{4})

= lo g_{5} (u^{3} v^{4})

ln (\frac{0.0521}{0.101})

7 lo g_{a} (z) - \frac{1}{5} lo g_{a} (y) + 5 lo g_{a} (x)

ln (2 π \frac{L}{g})

ln (e^{- n x} x^{a} b)

\frac{1}{4} (ln (\frac{1}{2}) - ln (\frac{1}{4}))

What is expand 3log_{5}(u)+4log_{5}(v) ?
The solution to expand 3log_{5}(u)+4log_{5}(v) is log_{5}(u^3v^4)