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Popular >

simplify log_{6}(AB^2)

Solution

simplify

lo g_{6} (A B^{2})

Solution

lo g_{6} (A) + 2 lo g_{6} (B)

Solution steps

lo g_{6} (A B^{2})

Apply log rule:

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

lo g_{6} (A B^{2}) = lo g_{6} (A) + lo g_{6} (B^{2})

= lo g_{6} (A) + lo g_{6} (B^{2})

Simplify

lo g_{6} (B^{2}) : 2 lo g_{6} (B)

= lo g_{6} (A) + 2 lo g_{6} (B)

Popular Examples

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lo g_{9} ((\frac{a}{b ^{3}})^{4})

join ((262)*ln(910/1960))-((6855)*ln(15/45))join

((262) \cdot ln (\frac{910}{1960})) - ((6855) \cdot ln (\frac{15}{45}))

simplify log_{10}((2u)/(3v))simplify

lo g_{10} (\frac{2 u}{3 v})

simplify 14+log_{10}((2*0.0105*10)/(500))simplify

14 + lo g_{10} (\frac{2 \cdot 0.0105 \cdot 10}{500})

simplify log_{b}((x^2*y)/(z^9))simplify

lo g_{b} (\frac{x ^{2} \cdot y}{z ^{9}})

Frequently Asked Questions (FAQ)

What is log_{6}(AB^2) ?
The solution to log_{6}(AB^2) is log_{6}(A)+2log_{6}(B)