What is expand log_{3}(5xy^2) ?

The solution to expand log_{3}(5xy^2) is log_{3}(5)+log_{3}(x)+2log_{3}(y)

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expand log_{3}(5xy^2)

expand

lo g_{3} (5 x y^{2})

lo g_{3} (5) + lo g_{3} (x) + 2 lo g_{3} (y)

Solution steps

lo g_{3} (5 x y^{2})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{3} (5 x y^{2}) = lo g_{3} (5) + lo g_{3} (x) + lo g_{3} (y^{2})

= lo g_{3} (5) + lo g_{3} (x) + lo g_{3} (y^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{3} (y^{2}) = 2 lo g_{3} (y)

= lo g_{3} (5) + lo g_{3} (x) + 2 lo g_{3} (y)

ln (\frac{1}{x + 1})

3 lo g_{m} (6 w + 1) + \frac{1}{5} lo g_{m} (w + 8)

lo g_{4} (10 x y)

\frac{( ln ( 0 - 1 ) - ln ( 1 0 ^{- 10} ) )}{ln ( 2 )}

ln (\frac{L ^{5} M ^{2}}{k})

What is expand log_{3}(5xy^2) ?
The solution to expand log_{3}(5xy^2) is log_{3}(5)+log_{3}(x)+2log_{3}(y)