What is log_{b}((sqrt(0.34))/(\sqrt[3]{0.83)}) ?

The solution to log_{b}((sqrt(0.34))/(\sqrt[3]{0.83)}) is 1/2 log_{b}(0.34)-1/3 log_{b}(0.83)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{b}((sqrt(0.34))/(\sqrt[3]{0.83)})

simplify

\frac{1}{2} lo g_{b} (0.34) - \frac{1}{3} lo g_{b} (0.83)

Solution steps

Apply log rule:

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

lo g_{b} (0.34) = \frac{1}{2} lo g_{b} (0.34)

= \frac{1}{2} lo g_{b} (0.34) - \frac{1}{3} lo g_{b} (0.83)

ln (\frac{1}{6.5})

ln (\frac{0.02}{0.01})

ln (\frac{3000000}{1256526})

lo g_{5} (\frac{3 x ^{3} ( 1 - 2 x ) ^{6}}{2 x ^{4} ( x ^{2} - y ^{2} )})

2 \cdot ln (8) - 2 \cdot ln (6)

What is log_{b}((sqrt(0.34))/(\sqrt[3]{0.83)}) ?
The solution to log_{b}((sqrt(0.34))/(\sqrt[3]{0.83)}) is 1/2 log_{b}(0.34)-1/3 log_{b}(0.83)