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Popular >

simplify log_{10}(yz^5)

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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