What is 3log_{3}(x)-2log_{3}(y) ?

The solution to 3log_{3}(x)-2log_{3}(y) is log_{3}((x^3)/(y^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3log_{3}(x)-2log_{3}(y)

simplify

3 lo g_{3} (x) - 2 lo g_{3} (y)

lo g_{3} (\frac{x ^{3}}{y ^{2}})

Solution steps

3 lo g_{3} (x) - 2 lo g_{3} (y)

Apply log rule:

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

3 lo g_{3} (x) = lo g_{3} (x^{3})

= lo g_{3} (x^{3}) - 2 lo g_{3} (y)

Apply log rule:

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

2 lo g_{3} (y) = lo g_{3} (y^{2})

= lo g_{3} (x^{3}) - lo g_{3} (y^{2})

Apply log rule:

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

lo g_{3} (x^{3}) - lo g_{3} (y^{2}) = lo g_{3} (\frac{x ^{3}}{y ^{2}})

= lo g_{3} (\frac{x ^{3}}{y ^{2}})

ln (\frac{8 x ^{2}}{3 y})

ln (3^{x - 2} (3^{x} - 10))

ln (ux)

ln (x^{3} y^{3})

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

What is 3log_{3}(x)-2log_{3}(y) ?
The solution to 3log_{3}(x)-2log_{3}(y) is log_{3}((x^3)/(y^2))