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Popular >

simplify log_{10}(y^5x)

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

Popular Examples

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Frequently Asked Questions (FAQ)

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