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

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

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expand log_{10}(x^4y)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

- lo g_{10} (4.5 \times 1 0^{- 5})

3 lo g_{8} (y) + 2 lo g_{8} (y - 9)

lo g_{4} (\frac{x y}{3})

lo g_{2} (a) + lo g_{2} (b) - 2 lo g_{2} (c)

\frac{1}{2} lo g_{c} (x) + 2 lo g_{c} (y) - 4 lo g_{c} (x)

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