What is expand 3log_{b}(q)+6log_{b}(v) ?

The solution to expand 3log_{b}(q)+6log_{b}(v) is log_{b}(q^3v^6)

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expand 3log_{b}(q)+6log_{b}(v)

expand

3 lo g_{b} (q) + 6 lo g_{b} (v)

lo g_{b} (q^{3} v^{6})

Solution steps

3 lo g_{b} (q) + 6 lo g_{b} (v)

Apply log rule:

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

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

= lo g_{b} (q^{3}) + 6 lo g_{b} (v)

Apply log rule:

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

6 lo g_{b} (v) = lo g_{b} (v^{6})

= lo g_{b} (q^{3}) + lo g_{b} (v^{6})

Apply log rule:

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

lo g_{b} (q^{3}) + lo g_{b} (v^{6}) = lo g_{b} (q^{3} v^{6})

= lo g_{b} (q^{3} v^{6})

lo g_{10} (\frac{a b}{c ^{6}})

\frac{1}{2} lo g_{2} (a) + lo g_{2} (b) - 2 lo g_{2} (c)

ln (\frac{0.003637}{0.002967})

lo g_{e} (δ (t))

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

What is expand 3log_{b}(q)+6log_{b}(v) ?
The solution to expand 3log_{b}(q)+6log_{b}(v) is log_{b}(q^3v^6)