What is log_{b}(xsqrt(y)) ?

The solution to log_{b}(xsqrt(y)) is log_{b}(x)+log_{b}(sqrt(y))

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simplify log_{b}(xsqrt(y))

simplify

lo g_{b} (x y)

lo g_{b} (x) + lo g_{b} (y)

Solution steps

lo g_{b} (x y)

Apply log rule:

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

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

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

(- 1.679) + (2477.572) ln (\frac{0.5}{1.5})

lo g_{10} (\frac{a ^{2}}{b c ^{3}})

lo g_{10} (m \cdot n \cdot p \cdot q)

- (2 ln (3) + ln (2))

\frac{3}{2} (ln (13) - ln (8))

What is log_{b}(xsqrt(y)) ?
The solution to log_{b}(xsqrt(y)) is log_{b}(x)+log_{b}(sqrt(y))