What is 5ln(3/4)+(5-3ln(81/64))/2 ?

The solution to 5ln(3/4)+(5-3ln(81/64))/2 is 5(ln(3)-2ln(2))+(5-3ln(81/64))/2

Popular >

simplify 5ln(3/4)+(5-3ln(81/64))/2

simplify

5 ln (\frac{3}{4}) + \frac{5 - 3 ln ( \frac{81}{64} )}{2}

5 (ln (3) - 2 ln (2)) + \frac{5 - 3 ln ( \frac{81}{64} )}{2}

Decimal Notation

0.70824 \dots

Solution steps

5 ln (\frac{3}{4}) + \frac{5 - 3 ln ( \frac{81}{64} )}{2}

Apply log rule:

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

ln (\frac{3}{4}) = ln (3) - ln (4)

= 5 (ln (3) - ln (4)) + \frac{- 3 ln ( \frac{81}{64} ) + 5}{2}

ln (4) = 2 ln (2)

= 5 (ln (3) - 2 ln (2)) + \frac{- 3 ln ( \frac{81}{64} ) + 5}{2}

ln (10 x + 3) + ln (x + 3)

ln ((\frac{1}{2} + \frac{x}{4})^{a} \cdot (\frac{1}{4} - \frac{x}{4})^{b + c} \cdot (\frac{x}{4})^{d})

\frac{3}{4} lo g_{8} (18)

\frac{ln ( 5 ) + ln ( 5 ^{2} ) + ln ( 3 ^{3} )}{ln ( 5 )}

ln (x^{3}) - ln (x^{2} + x)

What is 5ln(3/4)+(5-3ln(81/64))/2 ?
The solution to 5ln(3/4)+(5-3ln(81/64))/2 is 5(ln(3)-2ln(2))+(5-3ln(81/64))/2