What is 5log_{6}(x)+30log_{6}(y) ?

The solution to 5log_{6}(x)+30log_{6}(y) is log_{6}(x^5y^{30})

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simplify 5log_{6}(x)+30log_{6}(y)

simplify

5 lo g_{6} (x) + 30 lo g_{6} (y)

lo g_{6} (x^{5} y^{30})

Solution steps

5 lo g_{6} (x) + 30 lo g_{6} (y)

Apply log rule:

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

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

= lo g_{6} (x^{5}) + 30 lo g_{6} (y)

Apply log rule:

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

30 lo g_{6} (y) = lo g_{6} (y^{30})

= lo g_{6} (x^{5}) + lo g_{6} (y^{30})

Apply log rule:

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

lo g_{6} (x^{5}) + lo g_{6} (y^{30}) = lo g_{6} (x^{5} y^{30})

= lo g_{6} (x^{5} y^{30})

lo g_{5} (0.1 x)

ln (2 e^{2 t})

e ln (4 e)

6 ln (9) - 4 ln (4)

ln (y (1 - e^{c}))

What is 5log_{6}(x)+30log_{6}(y) ?
The solution to 5log_{6}(x)+30log_{6}(y) is log_{6}(x^5y^{30})