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

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

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simplify 1/2 log_{b}(x)+5log_{b}(y)-3log_{b}(x)

simplify

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

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

Solution steps

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

Group like terms

= 5 lo g_{b} (y) - 3 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) (- 3 + \frac{1}{2})

Simplify

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

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

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

ln (\frac{x ^{5} \cdot ( 1 - x ) ^{45}}{A ^{5} B ^{45}})

0.22 5^{2} ln (8 \cdot 0.225)

lo g_{2} (\frac{75}{32})

10 lo g_{10} (\frac{1}{1 _{0}})

\frac{3 ln ( 5 )}{ln ( 5 ) - 2 ln ( 3 )}

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