What is 1/2 log_{b}(x)+4log_{b}(y)-3log_{b}(x) ?

The solution to 1/2 log_{b}(x)+4log_{b}(y)-3log_{b}(x) is 4log_{b}(y)-5/2 log_{b}(x)

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simplify 1/2 log_{b}(x)+4log_{b}(y)-3log_{b}(x)

simplify

\frac{1}{2} lo g_{b} (x) + 4 lo g_{b} (y) - 3 lo g_{b} (x)

4 lo g_{b} (y) - \frac{5}{2} lo g_{b} (x)

Solution steps

\frac{1}{2} lo g_{b} (x) + 4 lo g_{b} (y) - 3 lo g_{b} (x)

Group like terms

= 4 lo g_{b} (y) - 3 lo g_{b} (x) + \frac{1}{2} lo g_{b} (x)

Factor out common term

lo g_{b} (x)

= 4 lo g_{b} (y) + lo g_{b} (x) (- 3 + \frac{1}{2})

Simplify

lo g_{b} (x) (- 3 + \frac{1}{2}) : - lo g_{b} (x) \frac{5}{2}

= 4 lo g_{b} (y) - lo g_{b} (x) \frac{5}{2}

= 4 lo g_{b} (y) - \frac{5}{2} lo g_{b} (x)

lo g_{10} (\frac{z ^{4}}{5})

2 lo g_{3} (x) + 4 lo g_{3} (x - 1) + lo g_{3} (y)

- lo g_{10} (8.4 \cdot 1 0^{- 4})

lo g_{10} (\frac{x ^{2} y ^{18}}{z ^{8}})

ln (\frac{r}{2 s})

What is 1/2 log_{b}(x)+4log_{b}(y)-3log_{b}(x) ?
The solution to 1/2 log_{b}(x)+4log_{b}(y)-3log_{b}(x) is 4log_{b}(y)-5/2 log_{b}(x)