What is expand log_{10}(x/(10)) ?

The solution to expand log_{10}(x/(10)) is log_{10}(x)-1

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expand log_{10}(x/(10))

expand

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

lo g_{10} (x) - 1

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a) = 1

= lo g_{10} (x) - 1

lo g_{10} (4) + 3 lo g_{10} (x) + lo g_{10} (y)

8 ln (x) - \frac{1}{4} ln (y)

lo g_{8} (c) + 4 lo g_{8} (a) - 5 lo g_{8} (b)

lo g_{4} (7^{2} 3^{4})

ln (2 x y)

What is expand log_{10}(x/(10)) ?
The solution to expand log_{10}(x/(10)) is log_{10}(x)-1