What is log_{6}(u)+6log_{6}(v) ?

The solution to log_{6}(u)+6log_{6}(v) is log_{6}(uv^6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{6}(u)+6log_{6}(v)

simplify

lo g_{6} (u) + 6 lo g_{6} (v)

lo g_{6} (u v^{6})

Solution steps

lo g_{6} (u) + 6 lo g_{6} (v)

Apply log rule:

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

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

= lo g_{6} (u) + lo g_{6} (v^{6})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{6} (u) + lo g_{6} (v^{6}) = lo g_{6} (u v^{6})

= lo g_{6} (u v^{6})

\frac{ln ( \frac{125}{4} )}{3 ln ( 2 )}

ln (\frac{( 8 + x )}{8 - x})

ln (\frac{1000000}{238453})

ln (\frac{42554}{21})

4 ln (2) + 2 ln (3)

What is log_{6}(u)+6log_{6}(v) ?
The solution to log_{6}(u)+6log_{6}(v) is log_{6}(uv^6)