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

The solution to 1/2 log_{b}(x)+5log_{b}(y)-4log_{b}(x) is 5log_{b}(y)-7/2 log_{b}(x)

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simplify 1/2 log_{b}(x)+5log_{b}(y)-4log_{b}(x)

simplify

\frac{1}{2} lo g_{b} (x) + 5 lo g_{b} (y) - 4 lo g_{b} (x)

5 lo g_{b} (y) - \frac{7}{2} lo g_{b} (x)

Solution steps

\frac{1}{2} lo g_{b} (x) + 5 lo g_{b} (y) - 4 lo g_{b} (x)

Group like terms

= 5 lo g_{b} (y) - 4 lo g_{b} (x) + \frac{1}{2} lo g_{b} (x)

Factor out common term

lo g_{b} (x)

= 5 lo g_{b} (y) + lo g_{b} (x) (- 4 + \frac{1}{2})

Simplify

lo g_{b} (x) (- 4 + \frac{1}{2}) : - lo g_{b} (x) \frac{7}{2}

= 5 lo g_{b} (y) - lo g_{b} (x) \frac{7}{2}

= 5 lo g_{b} (y) - \frac{7}{2} lo g_{b} (x)

lo g_{3} (x y)

ln (\frac{s ^{2} + 9}{s ^{2} + 64})

10 lo g_{10} (1.6 \cdot 1 0^{- 5}) + 120

6 ln (x) + ln (sin^{8} (x)) - ln (x^{2} + 1)

11 ln (x - 4) - 2 ln (x)

What is 1/2 log_{b}(x)+5log_{b}(y)-4log_{b}(x) ?
The solution to 1/2 log_{b}(x)+5log_{b}(y)-4log_{b}(x) is 5log_{b}(y)-7/2 log_{b}(x)