What is 2log_{6}(u)+6log_{6}(v) ?

The solution to 2log_{6}(u)+6log_{6}(v) is log_{6}(u^2v^6)

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simplify 2log_{6}(u)+6log_{6}(v)

simplify

2 lo g_{6} (u) + 6 lo g_{6} (v)

lo g_{6} (u^{2} v^{6})

Solution steps

2 lo g_{6} (u) + 6 lo g_{6} (v)

Apply log rule:

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

2 lo g_{6} (u) = lo g_{6} (u^{2})

= lo g_{6} (u^{2}) + 6 lo g_{6} (v)

Apply log rule:

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

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

= lo g_{6} (u^{2}) + lo g_{6} (v^{6})

Apply log rule:

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

lo g_{6} (u^{2}) + lo g_{6} (v^{6}) = lo g_{6} (u^{2} v^{6})

= lo g_{6} (u^{2} v^{6})

- 4 ln (x - 2) + 3 ln (1 - x)

2 lo g_{3} (x - y) - 3 lo g_{3} (m)

ln (A) - ln (B)

ln (\frac{a}{b c})

ln (x) + ln (3 y)

What is 2log_{6}(u)+6log_{6}(v) ?
The solution to 2log_{6}(u)+6log_{6}(v) is log_{6}(u^2v^6)