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

The solution to 1/4 log_{b}(x)+2log_{b}(y)-3log_{b}(x) is 2log_{b}(y)-11/4 log_{b}(x)

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

simplify

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

2 lo g_{b} (y) - \frac{11}{4} lo g_{b} (x)

Solution steps

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

Group like terms

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

Factor out common term

lo g_{b} (x)

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

Simplify

lo g_{b} (x) (- 3 + \frac{1}{4}) : - lo g_{b} (x) \frac{11}{4}

= 2 lo g_{b} (y) - lo g_{b} (x) \frac{11}{4}

= 2 lo g_{b} (y) - \frac{11}{4} lo g_{b} (x)

ln (8 x + 4) - 2 ln (2)

lo g_{9} (10) - lo g_{9} (\frac{1}{2}) - lo g_{9} (4)

8.96 \cdot ln (\frac{87}{d - 78})

lo g_{4} (\frac{g}{64})

2 lo g_{10} (a) - 4 lo g_{10} (b)

What is 1/4 log_{b}(x)+2log_{b}(y)-3log_{b}(x) ?
The solution to 1/4 log_{b}(x)+2log_{b}(y)-3log_{b}(x) is 2log_{b}(y)-11/4 log_{b}(x)