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Popular >

simplify log_{10}(x^2z)

Solution

simplify

lo g_{10} (x^{2} z)

Solution

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

Solution steps

lo g_{10} (x^{2} z)

Apply log rule:

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

lo g_{10} (x^{2} z) = lo g_{10} (x^{2}) + lo g_{10} (z)

= lo g_{10} (x^{2}) + lo g_{10} (z)

Simplify

lo g_{10} (x^{2}) : 2 lo g_{10} (x)

= 2 lo g_{10} (x) + lo g_{10} (z)

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expand log_{10}(5x)2 expand

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Frequently Asked Questions (FAQ)

What is log_{10}(x^2z) ?
The solution to log_{10}(x^2z) is 2log_{10}(x)+log_{10}(z)