What is log_{4}(3)+5log_{4}(y) ?

The solution to log_{4}(3)+5log_{4}(y) is log_{4}(3y^5)

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simplify log_{4}(3)+5log_{4}(y)

simplify

lo g_{4} (3) + 5 lo g_{4} (y)

lo g_{4} (3 y^{5})

Solution steps

lo g_{4} (3) + 5 lo g_{4} (y)

Apply log rule:

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

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

= lo g_{4} (3) + lo g_{4} (y^{5})

Apply log rule:

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

lo g_{4} (3) + lo g_{4} (y^{5}) = lo g_{4} (3 y^{5})

= lo g_{4} (3 y^{5})

ln (\frac{x}{x + 3})

lo g_{10} (6) + lo g_{10} (p)

lo g_{2} (\frac{128}{x ^{2} + 4})

lo g_{10} (\frac{z}{x ^{6}})

What is log_{4}(3)+5log_{4}(y) ?
The solution to log_{4}(3)+5log_{4}(y) is log_{4}(3y^5)