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

The solution to 1/3 log_{b}(x)+3log_{b}(y)-5log_{b}(x) is 3log_{b}(y)-14/3 log_{b}(x)

Popular >

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

simplify

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

3 lo g_{b} (y) - \frac{14}{3} lo g_{b} (x)

Solution steps

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

Group like terms

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

Factor out common term

lo g_{b} (x)

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

Simplify

lo g_{b} (x) (- 5 + \frac{1}{3}) : - lo g_{b} (x) \frac{14}{3}

= 3 lo g_{b} (y) - lo g_{b} (x) \frac{14}{3}

= 3 lo g_{b} (y) - \frac{14}{3} lo g_{b} (x)

lo g_{n} (\frac{2 a}{7 y})

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

lo g_{b} (\frac{a ^{3} c ^{4}}{a})

lo g_{5} (x) + lo g_{5} (10) + lo g_{5} (y)

What is 1/3 log_{b}(x)+3log_{b}(y)-5log_{b}(x) ?
The solution to 1/3 log_{b}(x)+3log_{b}(y)-5log_{b}(x) is 3log_{b}(y)-14/3 log_{b}(x)