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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

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

Solution steps

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

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

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

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

21 ln (2) - ln (3)

ln (\frac{24}{109})

2 (ln (1 + e^{5}) - ln (1 + e))

ln (x + 2) - ln (x)

- lo g_{10} (8 \cdot 1 0^{- 10})

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