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Popular >

simplify log_{10}(y^9x)

Solution

simplify

lo g_{10} (y^{9} x)

Solution

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

Solution steps

lo g_{10} (y^{9} x)

Apply log rule:

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

lo g_{10} (y^{9} x) = lo g_{10} (y^{9}) + lo g_{10} (x)

= lo g_{10} (y^{9}) + lo g_{10} (x)

Simplify

lo g_{10} (y^{9}) : 9 lo g_{10} (y)

= 9 lo g_{10} (y) + lo g_{10} (x)

Popular Examples

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Frequently Asked Questions (FAQ)

What is log_{10}(y^9x) ?
The solution to log_{10}(y^9x) is 9log_{10}(y)+log_{10}(x)