What is log_{3}((sqrt(z))/(27)) ?

The solution to log_{3}((sqrt(z))/(27)) is log_{3}(sqrt(z))-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{3}((sqrt(z))/(27))

simplify

lo g_{3} (\frac{z}{27})

lo g_{3} (z) - 3

Solution steps

lo g_{3} (\frac{z}{27})

Apply log rule:

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

lo g_{3} (\frac{z}{27}) = lo g_{3} (z) - lo g_{3} (27)

= lo g_{3} (z) - lo g_{3} (27)

lo g_{3} (27) = 3

= lo g_{3} (z) - 3

ln (3) + \frac{1}{3} ln (64)

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

ln (\frac{x ^{6}}{y ^{5}})

lo g_{10} (5 y)

4 lo g_{10} (d) - 5 lo g_{10} (q)

What is log_{3}((sqrt(z))/(27)) ?
The solution to log_{3}((sqrt(z))/(27)) is log_{3}(sqrt(z))-3