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Popular >

simplify log_{10}(x^3z)

Solution

simplify

lo g_{10} (x^{3} z)

Solution

3 lo g_{10} (x) + lo g_{10} (z)

Solution steps

lo g_{10} (x^{3} z)

Apply log rule:

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

lo g_{10} (x^{3} z) = lo g_{10} (x^{3}) + lo g_{10} (z)

= lo g_{10} (x^{3}) + lo g_{10} (z)

Simplify

lo g_{10} (x^{3}) : 3 lo g_{10} (x)

= 3 lo g_{10} (x) + lo g_{10} (z)

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Frequently Asked Questions (FAQ)

What is log_{10}(x^3z) ?
The solution to log_{10}(x^3z) is 3log_{10}(x)+log_{10}(z)