What is expand log_{10}(x/(y^2)) ?

The solution to expand log_{10}(x/(y^2)) is log_{10}(x)-2log_{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}(x/(y^2))

expand

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

lo g_{10} (x) - 2 lo g_{10} (y)

Solution steps

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

Apply log rule:

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

lo g_{10} (\frac{x}{y ^{2}}) = lo g_{10} (x) - lo g_{10} (y^{2})

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

Apply log rule:

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

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

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

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

ln (x^{\frac{1}{2}} y^{\frac{1}{3}})

ln (3) - 2 (ln (4) + ln (32))

What is expand log_{10}(x/(y^2)) ?
The solution to expand log_{10}(x/(y^2)) is log_{10}(x)-2log_{10}(y)