What is 6log_{4}(c)+5log_{4}(a) ?

The solution to 6log_{4}(c)+5log_{4}(a) is log_{4}(c^6a^5)

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simplify 6log_{4}(c)+5log_{4}(a)

simplify

6 lo g_{4} (c) + 5 lo g_{4} (a)

lo g_{4} (c^{6} a^{5})

Solution steps

6 lo g_{4} (c) + 5 lo g_{4} (a)

Apply log rule:

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

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

= lo g_{4} (c^{6}) + 5 lo g_{4} (a)

Apply log rule:

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

5 lo g_{4} (a) = lo g_{4} (a^{5})

= lo g_{4} (c^{6}) + lo g_{4} (a^{5})

Apply log rule:

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

lo g_{4} (c^{6}) + lo g_{4} (a^{5}) = lo g_{4} (c^{6} a^{5})

= lo g_{4} (c^{6} a^{5})

ln (92)

ln (\frac{e ^{3 y^{2}}}{2})

ln (x) - ln (Y)

lo g_{5} (\frac{1}{25})

14 ln (\frac{3}{4}) + 2

What is 6log_{4}(c)+5log_{4}(a) ?
The solution to 6log_{4}(c)+5log_{4}(a) is log_{4}(c^6a^5)