What is expand log_{10}(xy^5) ?

The solution to expand log_{10}(xy^5) is log_{10}(x)+5log_{10}(y)

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expand log_{10}(xy^5)

expand

lo g_{10} (x y^{5})

lo g_{10} (x) + 5 lo g_{10} (y)

Solution steps

lo g_{10} (x y^{5})

Apply log rule:

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

lo g_{10} (x y^{5}) = lo g_{10} (x) + lo g_{10} (y^{5})

= lo g_{10} (x) + lo g_{10} (y^{5})

Apply log rule:

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

lo g_{10} (y^{5}) = 5 lo g_{10} (y)

= lo g_{10} (x) + 5 lo g_{10} (y)

lo g_{10} (8) + lo g_{10} (4)

lo g_{4} (\frac{12}{x})

lo g_{10} (\frac{y}{x ^{7}})

lo g_{10} (3) + 2 lo g_{10} (x) + 3 lo g_{10} (y)

6 [ln (z) + ln (z + 7)] - 3 ln (z - 7)

What is expand log_{10}(xy^5) ?
The solution to expand log_{10}(xy^5) is log_{10}(x)+5log_{10}(y)