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

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

Popular >

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

simplify

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

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

Solution steps

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

Group like terms

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

Simplify

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

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

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

lo g_{10} (3) + lo g_{10} (x)

lo g_{3} (\frac{x y ^{2}}{z ^{2}})

lo g_{10} (20) + lo g_{10} (4)

lo g_{2} (\frac{x + 3}{x y})

ln (4 \frac{1}{16})

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