What is log_{2}((x^3y^2)/z) ?

The solution to log_{2}((x^3y^2)/z) is 3log_{2}(x)+2log_{2}(y)-log_{2}(z)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{2}((x^3y^2)/z)

simplify

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

3 lo g_{2} (x) + 2 lo g_{2} (y) - lo g_{2} (z)

Solution steps

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

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

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

= lo g_{2} (x^{3} y^{2}) - lo g_{2} (z)

Simplify

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

= 3 lo g_{2} (x) + 2 lo g_{2} (y) - lo g_{2} (z)

3 ln (a) - \frac{1}{2} ln (b) + 5 ln (c) - 7 ln (d)

lo g_{2} (x^{2} - 25) + lo g_{2} (x - 6)

ln (\frac{x ^{9} x ^{2} + 1}{( x + 1 ) ^{9}})

lo g_{b} (12) - lo g_{b} (6)

ln (x x)

What is log_{2}((x^3y^2)/z) ?
The solution to log_{2}((x^3y^2)/z) is 3log_{2}(x)+2log_{2}(y)-log_{2}(z)