What is 4log_{4}(5)+5log_{4}(x) ?

The solution to 4log_{4}(5)+5log_{4}(x) is log_{4}(625x^5)

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simplify 4log_{4}(5)+5log_{4}(x)

simplify

4 lo g_{4} (5) + 5 lo g_{4} (x)

lo g_{4} (625 x^{5})

Solution steps

4 lo g_{4} (5) + 5 lo g_{4} (x)

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

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

= lo g_{4} (5^{4}) + lo g_{4} (x^{5})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{4} (5^{4}) + lo g_{4} (x^{5}) = lo g_{4} (5^{4} x^{5})

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

Simplify

5^{4} x^{5} : 625 x^{5}

= lo g_{4} (625 x^{5})

x^{4} - 10 x^{2} \cdot y^{2} + 25 y^{4}

(x^{2} + 16) (x + 4) (x - 4)

(a_{b}^{3})^{3} + 3 a - 3 b

x^{4} - 4 y^{3} + 2 x^{2} - 2 x^{2} \cdot y^{3}

\frac{0.5 x 1 0 ^{- 3}}{1 0 ^{- 6}}

What is 4log_{4}(5)+5log_{4}(x) ?
The solution to 4log_{4}(5)+5log_{4}(x) is log_{4}(625x^5)