What is 7log_{6}(u)+4log_{6}(v) ?

The solution to 7log_{6}(u)+4log_{6}(v) is log_{6}(u^7v^4)

Popular >

simplify 7log_{6}(u)+4log_{6}(v)

simplify

7 lo g_{6} (u) + 4 lo g_{6} (v)

lo g_{6} (u^{7} v^{4})

Solution steps

7 lo g_{6} (u) + 4 lo g_{6} (v)

Apply log rule:

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

7 lo g_{6} (u) = lo g_{6} (u^{7})

= lo g_{6} (u^{7}) + 4 lo g_{6} (v)

Apply log rule:

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

4 lo g_{6} (v) = lo g_{6} (v^{4})

= lo g_{6} (u^{7}) + lo g_{6} (v^{4})

Apply log rule:

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

lo g_{6} (u^{7}) + lo g_{6} (v^{4}) = lo g_{6} (u^{7} v^{4})

= lo g_{6} (u^{7} v^{4})

(\frac{1}{2})^{3} - 24 ln (\frac{1}{2}) + 1

ln (\frac{2 ^{3}}{3 ^{4} 5 ^{2}})

lo g_{b} (x) + 2 lo g_{b} (y) - 3 lo g_{b} (z)

lo g_{5} ((x - 1)^{2}) (4 x)

lo g_{10} (\frac{s}{t})

What is 7log_{6}(u)+4log_{6}(v) ?
The solution to 7log_{6}(u)+4log_{6}(v) is log_{6}(u^7v^4)