What is expand log_{5}(x*y*z^4) ?

The solution to expand log_{5}(x*y*z^4) is log_{5}(x)+log_{5}(y)+4log_{5}(z)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{5}(xyz^4)

expand

lo g_{5} (x \cdot y \cdot z^{4})

lo g_{5} (x) + lo g_{5} (y) + 4 lo g_{5} (z)

Solution steps

lo g_{5} (x y z^{4})

Apply log rule:

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

lo g_{5} (x y z^{4}) = lo g_{5} (x) + lo g_{5} (y) + lo g_{5} (z^{4})

= lo g_{5} (x) + lo g_{5} (y) + lo g_{5} (z^{4})

Apply log rule:

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

lo g_{5} (z^{4}) = 4 lo g_{5} (z)

= lo g_{5} (x) + lo g_{5} (y) + 4 lo g_{5} (z)

lo g_{5} (x^{2} - 1) - lo g_{5} (x - 1)

lo g_{10} (\frac{z ^{2}}{x y ^{4}})

lo g_{10} (0.24 x 1 0^{6})

lo g_{2} (\frac{a ^{2} - 4}{9})

\frac{1}{3} lo g_{c} (x) + 2 lo g_{c} (y) - 4 lo g_{c} (x)

What is expand log_{5}(x*y*z^4) ?
The solution to expand log_{5}(x*y*z^4) is log_{5}(x)+log_{5}(y)+4log_{5}(z)