What is expand log_{10}(y^2x) ?

The solution to expand log_{10}(y^2x) is 2log_{10}(y)+log_{10}(x)

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expand log_{10}(y^2x)

expand

lo g_{10} (y^{2} x)

2 lo g_{10} (y) + lo g_{10} (x)

Solution steps

lo g_{10} (y^{2} x)

Apply log rule:

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

lo g_{10} (y^{2} x) = lo g_{10} (y^{2}) + lo g_{10} (x)

= lo g_{10} (y^{2}) + lo g_{10} (x)

Apply log rule:

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

lo g_{10} (y^{2}) = 2 lo g_{10} (y)

= 2 lo g_{10} (y) + lo g_{10} (x)

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

2 ln (y) - ln (x y)

ln (9) - ln (5)

w (ln (x^{2}), ln (x^{3}))

- lo g_{10} (1.6 \cdot 1 0^{- 6})

What is expand log_{10}(y^2x) ?
The solution to expand log_{10}(y^2x) is 2log_{10}(y)+log_{10}(x)