What is log_{10}(1/2 x) ?

The solution to log_{10}(1/2 x) is -log_{10}(2)+log_{10}(x)

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simplify log_{10}(1/2 x)

simplify

lo g_{10} (\frac{1}{2} x)

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

Solution steps

lo g_{10} (\frac{1}{2} x)

Apply log rule:

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

lo g_{10} (\frac{1}{2} x) = lo g_{10} (\frac{1}{2}) + lo g_{10} (x)

= lo g_{10} (\frac{1}{2}) + lo g_{10} (x)

lo g_{10} (\frac{1}{2}) = - lo g_{10} (2)

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

ln^{2} (x) - ln^{2} (y)

lo g_{6} (\frac{( w ^{2} )}{4})

lo g_{2} (\frac{x ^{2}}{x - 3})

lo g_{2} (\frac{c}{4})

What is log_{10}(1/2 x) ?
The solution to log_{10}(1/2 x) is -log_{10}(2)+log_{10}(x)