What is (-3ln(2))/(ln(2)-ln(5)) ?

The solution to (-3ln(2))/(ln(2)-ln(5)) is -(3ln(2))/(ln(2/5))

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simplify (-3ln(2))/(ln(2)-ln(5))

simplify

\frac{- 3 ln ( 2 )}{ln ( 2 ) - ln ( 5 )}

- \frac{3 ln ( 2 )}{ln ( \frac{2}{5} )}

Decimal Notation

2.26941 \dots

Solution steps

\frac{- 3 ln ( 2 )}{ln ( 2 ) - ln ( 5 )}

Apply log rule:

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

ln (2) - ln (5) = ln (\frac{2}{5})

= \frac{- 3 ln ( 2 )}{ln ( \frac{2}{5} )}

Apply the fraction rule:

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

= - \frac{3 ln ( 2 )}{ln ( \frac{2}{5} )}

ln (27) + ln (9) - ln (\frac{1}{3}) \cdot 4 ln (3)

ln (\frac{2 x ^{4}}{( x + 1 ) ^{9}})

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

\frac{1}{2} ln (\frac{2}{3})

ln (18) - ln (8)

What is (-3ln(2))/(ln(2)-ln(5)) ?
The solution to (-3ln(2))/(ln(2)-ln(5)) is -(3ln(2))/(ln(2/5))