What is log_{6}((x^3)/(y^6)) ?

The solution to log_{6}((x^3)/(y^6)) is 3log_{6}(x)-6log_{6}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{6}((x^3)/(y^6))

simplify

lo g_{6} (\frac{x ^{3}}{y ^{6}})

3 lo g_{6} (x) - 6 lo g_{6} (y)

Solution steps

lo g_{6} (\frac{x ^{3}}{y ^{6}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{6} (\frac{x ^{3}}{y ^{6}}) = lo g_{6} (x^{3}) - lo g_{6} (y^{6})

= lo g_{6} (x^{3}) - lo g_{6} (y^{6})

lo g_{6} (x^{3}) = 3 lo g_{6} (x)

lo g_{6} (y^{6}) = 6 lo g_{6} (y)

= 3 lo g_{6} (x) - 6 lo g_{6} (y)

lo g_{2} (\frac{15}{y})

lo g_{2} (x) + lo g_{2} (x + 15) + lo g_{2} (16)

2 lo g_{3} (6) - lo g_{3} (8)

lo g_{4} (\frac{x ^{2}}{y ^{6}})

lo g_{a} (\frac{1}{64})

What is log_{6}((x^3)/(y^6)) ?
The solution to log_{6}((x^3)/(y^6)) is 3log_{6}(x)-6log_{6}(y)