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Popular >

simplify log_{b}(u^8v^5)

Solution

simplify

lo g_{b} (u^{8} v^{5})

Solution

8 lo g_{b} (u) + 5 lo g_{b} (v)

Solution steps

lo g_{b} (u^{8} v^{5})

Apply log rule:

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

lo g_{b} (u^{8} v^{5}) = lo g_{b} (u^{8}) + lo g_{b} (v^{5})

= lo g_{b} (u^{8}) + lo g_{b} (v^{5})

lo g_{b} (u^{8}) = 8 lo g_{b} (u)

lo g_{b} (v^{5}) = 5 lo g_{b} (v)

= 8 lo g_{b} (u) + 5 lo g_{b} (v)

Popular Examples

expand log_{7}((sqrt(7x^5))/y)expand

lo g_{7} (\frac{7 x ^{5}}{y})

simplify log_{3}(3(5x))simplify

lo g_{3} (3 (5 x))

simplify 2log_{10}(5)+3log_{10}(2)simplify

2 lo g_{10} (5) + 3 lo g_{10} (2)

simplify log_{3}((sqrt(x))/(a^3))simplify

lo g_{3} (\frac{x}{a ^{3}})

simplify-2/7 log_{2}(2/7)-5/7 log_{2}(5/7)simplify

- \frac{2}{7} lo g_{2} (\frac{2}{7}) - \frac{5}{7} lo g_{2} (\frac{5}{7})

Frequently Asked Questions (FAQ)

What is log_{b}(u^8v^5) ?
The solution to log_{b}(u^8v^5) is 8log_{b}(u)+5log_{b}(v)