What is 4log_{10}(x)-2log_{10}(y) ?

The solution to 4log_{10}(x)-2log_{10}(y) is log_{10}((x^4)/(y^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4log_{10}(x)-2log_{10}(y)

simplify

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

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

4 lo g_{10} (x) = lo g_{10} (x^{4})

= lo g_{10} (x^{4}) - 2 lo g_{10} (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= lo g_{10} (x^{4}) - lo g_{10} (y^{2})

Apply log rule:

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

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

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

ln (x^{13} 3 - x)

ln (\frac{e ^{4}}{14})

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

ln (\frac{5 x}{x ^{2} - 4})

What is 4log_{10}(x)-2log_{10}(y) ?
The solution to 4log_{10}(x)-2log_{10}(y) is log_{10}((x^4)/(y^2))