What is expand log_{10}(yx^3) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}(yx^3)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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

lo g_{3} (x) - lo g_{3} (x^{7})

- \frac{1}{20} ln (\frac{1}{2})

lo g_{3} (11) - lo g_{3} (4)

lo g_{3} (x) + lo g_{3} (2 x)

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