What is expand log_{10}(xy^4) ?

The solution to expand log_{10}(xy^4) is log_{10}(x)+4log_{10}(y)

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expand log_{10}(xy^4)

expand

lo g_{10} (x y^{4})

lo g_{10} (x) + 4 lo g_{10} (y)

Solution steps

lo g_{10} (x y^{4})

Apply log rule:

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

lo g_{10} (x y^{4}) = lo g_{10} (x) + lo g_{10} (y^{4})

= lo g_{10} (x) + lo g_{10} (y^{4})

Apply log rule:

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

lo g_{10} (y^{4}) = 4 lo g_{10} (y)

= lo g_{10} (x) + 4 lo g_{10} (y)

lo g_{10} (\frac{y ^{3}}{z ^{3} x ^{2}})

3 lo g_{10} (x) + \frac{1}{2} lo g_{10} (y)

ln (1) - ln (4 x) - ln (3 x - 5)

2 \cdot 1 0^{l o g_{2} (x) + l o g_{2} (x^{2})}

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

What is expand log_{10}(xy^4) ?
The solution to expand log_{10}(xy^4) is log_{10}(x)+4log_{10}(y)