What is log_{10}(51)-log_{10}(17) ?

The solution to log_{10}(51)-log_{10}(17) is log_{10}(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(51)-log_{10}(17)

simplify

lo g_{10} (51) - lo g_{10} (17)

lo g_{10} (3)

Decimal Notation

0.47712 \dots

Solution steps

lo g_{10} (51) - lo g_{10} (17)

Apply log rule:

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

lo g_{10} (51) - lo g_{10} (17) = lo g_{10} (\frac{51}{17})

= lo g_{10} (\frac{51}{17})

Divide the numbers:

\frac{51}{17} = 3

= lo g_{10} (3)

\frac{1}{2} lo g_{5} (x) + lo g_{5} (y)

ln (\frac{4}{9 x ^{9} y})

lo g_{5} (\frac{125}{x + 2})

ln (\frac{6}{e ^{7}})

What is log_{10}(51)-log_{10}(17) ?
The solution to log_{10}(51)-log_{10}(17) is log_{10}(3)