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Popular >

simplify log_{10}(z^6y)

Solution

simplify

lo g_{10} (z^{6} y)

Solution

6 lo g_{10} (z) + lo g_{10} (y)

Solution steps

lo g_{10} (z^{6} y)

Apply log rule:

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

lo g_{10} (z^{6} y) = lo g_{10} (z^{6}) + lo g_{10} (y)

= lo g_{10} (z^{6}) + lo g_{10} (y)

Simplify

lo g_{10} (z^{6}) : 6 lo g_{10} (z)

= 6 lo g_{10} (z) + lo g_{10} (y)

Popular Examples

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Frequently Asked Questions (FAQ)

What is log_{10}(z^6y) ?
The solution to log_{10}(z^6y) is 6log_{10}(z)+log_{10}(y)