What is log_{10}(5x^2y^3) ?

The solution to log_{10}(5x^2y^3) is log_{10}(5)+2log_{10}(x)+3log_{10}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(5x^2y^3)

simplify

lo g_{10} (5 x^{2} y^{3})

lo g_{10} (5) + 2 lo g_{10} (x) + 3 lo g_{10} (y)

Solution steps

lo g_{10} (5 x^{2} y^{3})

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (5 x^{2} y^{3}) = lo g_{10} (5) + lo g_{10} (x^{2}) + lo g_{10} (y^{3})

= lo g_{10} (5) + lo g_{10} (x^{2}) + lo g_{10} (y^{3})

lo g_{10} (x^{2}) = 2 lo g_{10} (x)

lo g_{10} (y^{3}) = 3 lo g_{10} (y)

= lo g_{10} (5) + 2 lo g_{10} (x) + 3 lo g_{10} (y)

lo g_{b} (y z^{2})

- lo g_{10} (3.8 \times 1 0^{- 4})

lo g_{3} (32) - lo g_{3} (4)

3 lo g_{9} (x) - \frac{1}{2} lo g_{9} (y) - 5 lo g_{9} (z - 4)

2 ln (a) - ln (2 b) + 3 ln (2)

What is log_{10}(5x^2y^3) ?
The solution to log_{10}(5x^2y^3) is log_{10}(5)+2log_{10}(x)+3log_{10}(y)