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Popular >

simplify log_{10}(x^5y)

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

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

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

Simplify

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

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

Popular Examples

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Frequently Asked Questions (FAQ)

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