What is log_{10}((z^3y^2)/x) ?

The solution to log_{10}((z^3y^2)/x) is 3log_{10}(z)+2log_{10}(y)-log_{10}(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}((z^3y^2)/x)

simplify

lo g_{10} (\frac{z ^{3} y ^{2}}{x})

3 lo g_{10} (z) + 2 lo g_{10} (y) - lo g_{10} (x)

Solution steps

lo g_{10} (\frac{z ^{3} y ^{2}}{x})

Apply log rule:

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

lo g_{10} (\frac{z ^{3} y ^{2}}{x}) = lo g_{10} (z^{3} y^{2}) - lo g_{10} (x)

= lo g_{10} (z^{3} y^{2}) - lo g_{10} (x)

Simplify

lo g_{10} (z^{3} y^{2}) : 3 lo g_{10} (z) + 2 lo g_{10} (y)

= 3 lo g_{10} (z) + 2 lo g_{10} (y) - lo g_{10} (x)

\frac{1}{2} lo g_{b} (x) + 3 lo g_{b} (y) - 4 lo g_{b} (x)

lo g_{10} (\frac{z}{x ^{9}})

lo g_{3} (\frac{243}{x - 4})

ln (x^{2} 3 x - 2)

lo g_{3} (\frac{9}{x + 8})

What is log_{10}((z^3y^2)/x) ?
The solution to log_{10}((z^3y^2)/x) is 3log_{10}(z)+2log_{10}(y)-log_{10}(x)