What is 1/4 log_{b}(x)+3log_{b}(y)-5log_{b}(x) ?

The solution to 1/4 log_{b}(x)+3log_{b}(y)-5log_{b}(x) is 3log_{b}(y)-19/4 log_{b}(x)

Popular >

simplify 1/4 log_{b}(x)+3log_{b}(y)-5log_{b}(x)

simplify

\frac{1}{4} lo g_{b} (x) + 3 lo g_{b} (y) - 5 lo g_{b} (x)

3 lo g_{b} (y) - \frac{19}{4} lo g_{b} (x)

Solution steps

\frac{1}{4} 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}{4} lo g_{b} (x)

Factor out common term

lo g_{b} (x)

= 3 lo g_{b} (y) + lo g_{b} (x) (- 5 + \frac{1}{4})

Simplify

lo g_{b} (x) (- 5 + \frac{1}{4}) : - lo g_{b} (x) \frac{19}{4}

= 3 lo g_{b} (y) - lo g_{b} (x) \frac{19}{4}

= 3 lo g_{b} (y) - \frac{19}{4} lo g_{b} (x)

2 ln (x) - \frac{1}{3} ln (y) + 4 ln (z)

lo g_{2} (x^{3} y^{2})

lo g_{10} ((\frac{m}{n}) \cdot (\frac{p}{q}))

lo g_{2} (\frac{a ^{2} - 9}{5})

2 lo g_{22} (15)

What is 1/4 log_{b}(x)+3log_{b}(y)-5log_{b}(x) ?
The solution to 1/4 log_{b}(x)+3log_{b}(y)-5log_{b}(x) is 3log_{b}(y)-19/4 log_{b}(x)