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Popular >

simplify log_{10}(x/8)

Solution

simplify

lo g_{10} (\frac{x}{8})

Solution

lo g_{10} (x) - 3 lo g_{10} (2)

Solution steps

lo g_{10} (\frac{x}{8})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{x}{8}) = lo g_{10} (x) - lo g_{10} (8)

= lo g_{10} (x) - lo g_{10} (8)

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

= lo g_{10} (x) - 3 lo g_{10} (2)

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Frequently Asked Questions (FAQ)

What is log_{10}(x/8) ?
The solution to log_{10}(x/8) is log_{10}(x)-3log_{10}(2)