What is expand log_{10}(xy^9) ?

The solution to expand log_{10}(xy^9) is log_{10}(x)+9log_{10}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}(xy^9)

expand

lo g_{10} (x y^{9})

lo g_{10} (x) + 9 lo g_{10} (y)

Solution steps

lo g_{10} (x y^{9})

Apply log rule:

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

lo g_{10} (x y^{9}) = lo g_{10} (x) + lo g_{10} (y^{9})

= lo g_{10} (x) + lo g_{10} (y^{9})

Apply log rule:

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

lo g_{10} (y^{9}) = 9 lo g_{10} (y)

= lo g_{10} (x) + 9 lo g_{10} (y)

lo g_{4} (20) + lo g_{4} (5)

lo g_{10} (\frac{365}{2.4}) + 2.8

2 ln (x - 4) - 9 ln (x)

lo g_{10} (\frac{y}{1000})

lo g_{7} (x^{5}) - 5 lo g_{7} (x^{2})

What is expand log_{10}(xy^9) ?
The solution to expand log_{10}(xy^9) is log_{10}(x)+9log_{10}(y)