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Popular >

simplify log_{10}(8k)

Solution

simplify

lo g_{10} (8 k)

Solution

3 lo g_{10} (2) + lo g_{10} (k)

Solution steps

lo g_{10} (8 k)

Apply log rule:

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

lo g_{10} (8 k) = lo g_{10} (8) + lo g_{10} (k)

= lo g_{10} (8) + lo g_{10} (k)

lo g_{10} (8) = 3 lo g_{10} (2)

= 3 lo g_{10} (2) + lo g_{10} (k)

Popular Examples

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Frequently Asked Questions (FAQ)

What is log_{10}(8k) ?
The solution to log_{10}(8k) is 3log_{10}(2)+log_{10}(k)