What is join (ln(69/97))/(2ln(2)) ?

The solution to join (ln(69/97))/(2ln(2)) is (ln(69/97))/(ln(4))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

join (ln(69/97))/(2ln(2))

join

\frac{ln ( \frac{69}{97} )}{2 ln ( 2 )}

\frac{ln ( \frac{69}{97} )}{ln ( 4 )}

Decimal Notation

- 0.24569 \dots

Solution steps

\frac{ln ( \frac{69}{97} )}{2 ln ( 2 )}

Apply log rule:

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

2 ln (2) = ln (2^{2})

= \frac{ln ( \frac{69}{97} )}{ln ( 2 ^{2} )}

2^{2} = 4

= \frac{ln ( \frac{69}{97} )}{ln ( 4 )}

\frac{1}{5} lo g_{3} (10)

- \frac{1}{16} lo g_{e} (\frac{1}{16}) - \frac{15}{16} lo g_{e} (\frac{15}{16})

ln (2 \cdot e^{- 10 k})

lo g_{x} (- 2 lo g_{y} (+ lo g_{z} (x)))

\frac{6 ln ( 7 ) - 2 ln ( 5 )}{- ln ( 5 ) - 5 ln ( 7 )}

What is join (ln(69/97))/(2ln(2)) ?
The solution to join (ln(69/97))/(2ln(2)) is (ln(69/97))/(ln(4))