What is log_{b}((sqrt(a))/2) ?

The solution to log_{b}((sqrt(a))/2) is log_{b}(sqrt(a))-log_{b}(2)

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simplify log_{b}((sqrt(a))/2)

simplify

lo g_{b} (\frac{a}{2})

lo g_{b} (a) - lo g_{b} (2)

Solution steps

lo g_{b} (\frac{a}{2})

Apply log rule:

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

lo g_{b} (\frac{a}{2}) = lo g_{b} (a) - lo g_{b} (2)

= lo g_{b} (a) - lo g_{b} (2)

lo g_{10} (16) + lo g_{10} (3)

ln (n) + ln (1 - \frac{n}{k})

ln (\frac{a b ^{3} c}{d})

3 ln (x) + 2 ln (y) - 5 ln (y^{2} + 1)

\frac{1}{2} ln (3) - ln (7)

What is log_{b}((sqrt(a))/2) ?
The solution to log_{b}((sqrt(a))/2) is log_{b}(sqrt(a))-log_{b}(2)