What is expand log_{10}(x^7y) ?

The solution to expand log_{10}(x^7y) is 7log_{10}(x)+log_{10}(y)

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expand log_{10}(x^7y)

expand

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

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

Solution steps

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

Apply log rule:

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

lo g_{10} (x^{7} y) = lo g_{10} (x^{7}) + lo g_{10} (y)

= lo g_{10} (x^{7}) + lo g_{10} (y)

Apply log rule:

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

lo g_{10} (x^{7}) = 7 lo g_{10} (x)

= 7 lo g_{10} (x) + lo g_{10} (y)

- ln (3.02 \cdot 1 0^{- 8})

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ln (508007 \cdot 1 0^{3}) \cdot 5

What is expand log_{10}(x^7y) ?
The solution to expand log_{10}(x^7y) is 7log_{10}(x)+log_{10}(y)