What is 5log_{6}(u)+8log_{6}(v) ?

The solution to 5log_{6}(u)+8log_{6}(v) is log_{6}(u^5v^8)

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simplify 5log_{6}(u)+8log_{6}(v)

simplify

5 lo g_{6} (u) + 8 lo g_{6} (v)

lo g_{6} (u^{5} v^{8})

Solution steps

5 lo g_{6} (u) + 8 lo g_{6} (v)

Apply log rule:

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

5 lo g_{6} (u) = lo g_{6} (u^{5})

= lo g_{6} (u^{5}) + 8 lo g_{6} (v)

Apply log rule:

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

8 lo g_{6} (v) = lo g_{6} (v^{8})

= lo g_{6} (u^{5}) + lo g_{6} (v^{8})

Apply log rule:

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

lo g_{6} (u^{5}) + lo g_{6} (v^{8}) = lo g_{6} (u^{5} v^{8})

= lo g_{6} (u^{5} v^{8})

- lo g_{10} (4 \cdot 1 0^{- 8}) + lo g_{10} (1)

2.338 - 1.5 - 0.287 ln (\frac{675}{45})

lo g_{3} (\frac{( x + 4 ) ^{2}}{y ^{3} z})

lo g_{6} (24) + lo g_{6} (4)

lo g_{3} (10 x)

What is 5log_{6}(u)+8log_{6}(v) ?
The solution to 5log_{6}(u)+8log_{6}(v) is log_{6}(u^5v^8)