What is log_{2}((x^3y^8)/5) ?

The solution to log_{2}((x^3y^8)/5) is 3log_{2}(x)+8log_{2}(y)-log_{2}(5)

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^8)/5)

simplify

lo g_{2} (\frac{x ^{3} y ^{8}}{5})

3 lo g_{2} (x) + 8 lo g_{2} (y) - lo g_{2} (5)

Solution steps

lo g_{2} (\frac{x ^{3} y ^{8}}{5})

Apply log rule:

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

lo g_{2} (\frac{x ^{3} y ^{8}}{5}) = lo g_{2} (x^{3} y^{8}) - lo g_{2} (5)

= lo g_{2} (x^{3} y^{8}) - lo g_{2} (5)

Simplify

lo g_{2} (x^{3} y^{8}) : 3 lo g_{2} (x) + 8 lo g_{2} (y)

= 3 lo g_{2} (x) + 8 lo g_{2} (y) - lo g_{2} (5)

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

- \frac{1}{2} + \frac{1}{4} lo g_{10} (0.1) + \frac{1}{2} lo g_{10} (a)

ln (9) + ln (x)

ln (2 e^{5})

What is log_{2}((x^3y^8)/5) ?
The solution to log_{2}((x^3y^8)/5) is 3log_{2}(x)+8log_{2}(y)-log_{2}(5)