What is expand log_{10}(z^5y) ?

The solution to expand log_{10}(z^5y) is 5log_{10}(z)+log_{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}(z^5y)

expand

lo g_{10} (z^{5} y)

5 lo g_{10} (z) + lo g_{10} (y)

Solution steps

lo g_{10} (z^{5} y)

Apply log rule:

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

lo g_{10} (z^{5} y) = lo g_{10} (z^{5}) + lo g_{10} (y)

= lo g_{10} (z^{5}) + lo g_{10} (y)

Apply log rule:

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

lo g_{10} (z^{5}) = 5 lo g_{10} (z)

= 5 lo g_{10} (z) + lo g_{10} (y)

lo g_{10} (x^{7} y)

- ln (3.02 \cdot 1 0^{- 8})

ln (3) - ln (10)

10 ln (\frac{i ( t )}{2})

ln (\frac{37}{22})

What is expand log_{10}(z^5y) ?
The solution to expand log_{10}(z^5y) is 5log_{10}(z)+log_{10}(y)