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

The solution to expand log_{10}(y/(x^5)) is log_{10}(y)-5log_{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}(y/(x^5))

expand

lo g_{10} (\frac{y}{x ^{5}})

lo g_{10} (y) - 5 lo g_{10} (x)

Solution steps

lo g_{10} (\frac{y}{x ^{5}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{y}{x ^{5}}) = lo g_{10} (y) - lo g_{10} (x^{5})

= lo g_{10} (y) - lo g_{10} (x^{5})

Apply log rule:

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

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

= lo g_{10} (y) - 5 lo g_{10} (x)

lo g_{x} (9) - lo g_{x} (15) + lo g_{x} (7)

lo g_{b} (\frac{a}{c ^{2}})

4 lo g_{10} (\frac{x}{5}) + lo g_{10} (\frac{625}{4})

ln (\frac{2 x ^{2} y}{z ^{4}})

lo g_{5} (3 x + 2) - lo g_{5} (x)

What is expand log_{10}(y/(x^5)) ?
The solution to expand log_{10}(y/(x^5)) is log_{10}(y)-5log_{10}(x)