What is (3log_{10}(2))/(log_{10)(2)-log_{10}(3)} ?

The solution to (3log_{10}(2))/(log_{10)(2)-log_{10}(3)} is 3log_{2/3}(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3log_{10}(2))/(log_{10)(2)-log_{10}(3)}

simplify

\frac{3 lo g _{10} ( 2 )}{lo g _{10} ( 2 ) - lo g _{10} ( 3 )}

3 lo g_{\frac{2}{3}} (2)

Decimal Notation

- 5.12853 \dots

Solution steps

\frac{3 lo g _{10} ( 2 )}{lo g _{10} ( 2 ) - lo g _{10} ( 3 )}

Apply log rule:

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

lo g_{10} (2) - lo g_{10} (3) = lo g_{10} (\frac{2}{3})

= \frac{3 lo g _{10} ( 2 )}{lo g _{10} ( \frac{2}{3} )}

Apply log rule:

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

\frac{lo g _{10} ( 2 )}{lo g _{10} ( \frac{2}{3} )} = lo g_{\frac{2}{3}} (2)

= 3 lo g_{\frac{2}{3}} (2)

lo g_{10} (z^{6} y)

lo g_{2} (3 x y^{2})

lo g_{10} (8 k)

ln ((x y)^{6})

- lo g_{10} (6.8 \cdot 1 0^{- 5})

What is (3log_{10}(2))/(log_{10)(2)-log_{10}(3)} ?
The solution to (3log_{10}(2))/(log_{10)(2)-log_{10}(3)} is 3log_{2/3}(2)