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Popular >

simplify log_{b}(y^5z)

Solution

simplify

lo g_{b} (y^{5} z)

Solution

5 lo g_{b} (y) + lo g_{b} (z)

Solution steps

lo g_{b} (y^{5} z)

Apply log rule:

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

lo g_{b} (y^{5} z) = lo g_{b} (y^{5}) + lo g_{b} (z)

= lo g_{b} (y^{5}) + lo g_{b} (z)

Simplify

lo g_{b} (y^{5}) : 5 lo g_{b} (y)

= 5 lo g_{b} (y) + lo g_{b} (z)

Popular Examples

simplify log_{3}(m)+log_{3}(5)-log_{3}(n)simplify

lo g_{3} (m) + lo g_{3} (5) - lo g_{3} (n)

simplify 1/(log_{2)(10)+log_{2}(9)}simplify

\frac{1}{lo g _{2} ( 10 ) + lo g _{2} ( 9 )}

simplify log_{9}(8)-log_{9}(11)simplify

lo g_{9} (8) - lo g_{9} (11)

simplify log_{12}(a/b)simplify

lo g_{12} (\frac{a}{b})

simplify log_{4}(6(5+2x))simplify

lo g_{4} (6 (5 + 2 x))

Frequently Asked Questions (FAQ)

What is log_{b}(y^5z) ?
The solution to log_{b}(y^5z) is 5log_{b}(y)+log_{b}(z)