What is expand log_{10}(x^3y) ?

The solution to expand log_{10}(x^3y) is 3log_{10}(x)+log_{10}(y)

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expand log_{10}(x^3y)

expand

lo g_{10} (x^{3} y)

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

Solution steps

lo g_{10} (x^{3} y)

Apply log rule:

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

lo g_{10} (x^{3} y) = lo g_{10} (x^{3}) + lo g_{10} (y)

= lo g_{10} (x^{3}) + lo g_{10} (y)

Apply log rule:

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

lo g_{10} (x^{3}) = 3 lo g_{10} (x)

= 3 lo g_{10} (x) + lo g_{10} (y)

ln (x) + ln (25)

ln (y + 1) - ln (y - 1)

- lo g_{10} (4.5 \cdot 1 0^{- 11})

ln (\frac{1}{e ^{y} + 1})

ln (6 x) - ln (2)

What is expand log_{10}(x^3y) ?
The solution to expand log_{10}(x^3y) is 3log_{10}(x)+log_{10}(y)