What is (ln(46)-ln(4))/(6ln(2)) ?

The solution to (ln(46)-ln(4))/(6ln(2)) is (ln(23/2))/(6ln(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (ln(46)-ln(4))/(6ln(2))

simplify

\frac{ln ( 46 ) - ln ( 4 )}{6 ln ( 2 )}

\frac{ln ( \frac{23}{2} )}{6 ln ( 2 )}

Decimal Notation

0.58726 \dots

Solution steps

\frac{ln ( 46 ) - ln ( 4 )}{6 ln ( 2 )}

Apply log rule:

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

ln (46) - ln (4) = ln (\frac{46}{4})

= \frac{ln ( \frac{46}{4} )}{6 ln ( 2 )}

Cancel the common factor:

2

= \frac{ln ( \frac{23}{2} )}{6 ln ( 2 )}

40002 + 103 ln (103) - 105 ln (105)

ln (6) + ln (21) - ln (7)

ln (\frac{z}{x ^{6} y})

ln (\frac{273.31}{373.15})

ln (0.2 x)

What is (ln(46)-ln(4))/(6ln(2)) ?
The solution to (ln(46)-ln(4))/(6ln(2)) is (ln(23/2))/(6ln(2))