What is log_{10}(y^7)-log_{10}(y^2) ?

The solution to log_{10}(y^7)-log_{10}(y^2) is 5log_{10}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(y^7)-log_{10}(y^2)

simplify

lo g_{10} (y^{7}) - lo g_{10} (y^{2})

5 lo g_{10} (y)

Solution steps

lo g_{10} (y^{7}) - lo g_{10} (y^{2})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

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

= 7 lo g_{10} (y) - lo g_{10} (y^{2})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

lo g_{10} (y^{2}) = 2 lo g_{10} (y)

= 7 lo g_{10} (y) - 2 lo g_{10} (y)

Add similar elements:

7 lo g_{10} (y) - 2 lo g_{10} (y) = 5 lo g_{10} (y)

= 5 lo g_{10} (y)

- 6 \cdot lo g_{10} (11 \cdot (100 \cdot b - 72) - 8) + 6 \cdot lo g_{10} (11 \cdot b - 8)

\frac{1}{2} ln (13)

ln (x) - ln (x^{2}) + ln (3)

8 lo g_{10} (4 x)

ln (3) 2

What is log_{10}(y^7)-log_{10}(y^2) ?
The solution to log_{10}(y^7)-log_{10}(y^2) is 5log_{10}(y)