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Popular >

expand log_{10}(x/9)

Solution

expand

lo g_{10} (\frac{x}{9})

Solution

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

Solution steps

lo g_{10} (\frac{x}{9})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{x}{9}) = lo g_{10} (x) - lo g_{10} (9)

= lo g_{10} (x) - lo g_{10} (9)

lo g_{10} (9) = 2 lo g_{10} (3)

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

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Frequently Asked Questions (FAQ)

What is expand log_{10}(x/9) ?
The solution to expand log_{10}(x/9) is log_{10}(x)-2log_{10}(3)