What is log_{c}(x^4y^4z) ?

The solution to log_{c}(x^4y^4z) is 4log_{c}(x)+4log_{c}(y)+log_{c}(z)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{c}(x^4y^4z)

simplify

lo g_{c} (x^{4} y^{4} z)

4 lo g_{c} (x) + 4 lo g_{c} (y) + lo g_{c} (z)

Solution steps

lo g_{c} (x^{4} y^{4} z)

Apply log rule:

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

lo g_{c} (x^{4} y^{4} z) = lo g_{c} (x^{4}) + lo g_{c} (y^{4}) + lo g_{c} (z)

= lo g_{c} (x^{4}) + lo g_{c} (y^{4}) + lo g_{c} (z)

lo g_{c} (x^{4}) = 4 lo g_{c} (x)

lo g_{c} (y^{4}) = 4 lo g_{c} (y)

= 4 lo g_{c} (x) + 4 lo g_{c} (y) + lo g_{c} (z)

ln (\frac{6}{11})

lo g_{2} (\frac{x ^{5} 4 ^{x}}{2 ^{x^{4}}})

lo g_{10} (a) - lo g_{10} (b) + lo g_{10} (c)

lo g_{10} (3) + 2 lo g_{10} (2)

What is log_{c}(x^4y^4z) ?
The solution to log_{c}(x^4y^4z) is 4log_{c}(x)+4log_{c}(y)+log_{c}(z)