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Popular >

simplify log_{b}(u^2v^9)

Solution

simplify

lo g_{b} (u^{2} v^{9})

Solution

2 lo g_{b} (u) + 9 lo g_{b} (v)

Solution steps

lo g_{b} (u^{2} v^{9})

Apply log rule:

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

lo g_{b} (u^{2} v^{9}) = lo g_{b} (u^{2}) + lo g_{b} (v^{9})

= lo g_{b} (u^{2}) + lo g_{b} (v^{9})

lo g_{b} (u^{2}) = 2 lo g_{b} (u)

lo g_{b} (v^{9}) = 9 lo g_{b} (v)

= 2 lo g_{b} (u) + 9 lo g_{b} (v)

Popular Examples

simplify log_{2}((x^9)/(5y))simplify

lo g_{2} (\frac{x ^{9}}{5 y})

simplify log_{2}(6)+log_{2}(7)simplify

lo g_{2} (6) + lo g_{2} (7)

simplify log_{2}(6)+log_{2}(9)simplify

lo g_{2} (6) + lo g_{2} (9)

simplify-log_{10}(6.3\times 10^{-8})simplify

- lo g_{10} (6.3 \times 1 0^{- 8})

simplify log_{10}(4)+log_{10}(6)simplify

lo g_{10} (4) + lo g_{10} (6)

Frequently Asked Questions (FAQ)

What is log_{b}(u^2v^9) ?
The solution to log_{b}(u^2v^9) is 2log_{b}(u)+9log_{b}(v)