What is (ln(2)-ln(3))/(-ln(3)) ?

The solution to (ln(2)-ln(3))/(-ln(3)) is -(ln(2/3))/(ln(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (ln(2)-ln(3))/(-ln(3))

simplify

\frac{ln ( 2 ) - ln ( 3 )}{- ln ( 3 )}

- \frac{ln ( \frac{2}{3} )}{ln ( 3 )}

Decimal Notation

0.36907 \dots

Solution steps

\frac{ln ( 2 ) - ln ( 3 )}{- ln ( 3 )}

Apply log rule:

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

ln (2) - ln (3) = ln (\frac{2}{3})

= \frac{ln ( \frac{2}{3} )}{- ln ( 3 )}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{ln ( \frac{2}{3} )}{ln ( 3 )}

- lo g_{10} (5.4 \cdot 1 0^{- 5})

- 8.314 \cdot ln (\frac{10}{1})

lo g_{6} (x + 2) + lo g_{6} (x) - \frac{1}{2} lo g_{6} (x + 1)

0.1 \cdot (lo g_{10} (118.4) - lo g_{10} (100.4))

ln (\frac{3}{5}) + ln (23)

What is (ln(2)-ln(3))/(-ln(3)) ?
The solution to (ln(2)-ln(3))/(-ln(3)) is -(ln(2/3))/(ln(3))