What is log_{10}(x)+1/6 log_{10}(y) ?

The solution to log_{10}(x)+1/6 log_{10}(y) is log_{10}(xy^{1/6})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(x)+1/6 log_{10}(y)

simplify

lo g_{10} (x) + \frac{1}{6} lo g_{10} (y)

lo g_{10} (x y^{\frac{1}{6}})

Solution steps

lo g_{10} (x) + \frac{1}{6} lo g_{10} (y)

Apply log rule:

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

\frac{1}{6} lo g_{10} (y) = lo g_{10} (y^{\frac{1}{6}})

= lo g_{10} (x) + lo g_{10} (y^{\frac{1}{6}})

Apply log rule:

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

lo g_{10} (x) + lo g_{10} (y^{\frac{1}{6}}) = lo g_{10} (x y^{\frac{1}{6}})

= lo g_{10} (x y^{\frac{1}{6}})

- 0.2 lo g_{2} (0.2) - 0.8 lo g_{2} (0.8)

ln (4 \cdot cos (x))

3156659.5 \cdot ln (\frac{6.8}{1.2})

ln (\frac{( 2 x + 1 ) ^{5}}{x ^{2} + 1})

ln (\frac{a}{2}) + ln (a^{3})

What is log_{10}(x)+1/6 log_{10}(y) ?
The solution to log_{10}(x)+1/6 log_{10}(y) is log_{10}(xy^{1/6})