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Popular >

simplify 1/2 ln(1/2)-1/2

Solution

simplify

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

Solution

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

+1

Decimal Notation

- 0.84657 \dots

Solution steps

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

Apply log rule:

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

ln (\frac{1}{2}) = ln (1) - ln (2)

= \frac{1}{2} (ln (1) - ln (2)) - \frac{1}{2}

\frac{1}{2} (ln (1) - ln (2)) = - \frac{1}{2} ln (2)

= - \frac{1}{2} ln (2) - \frac{1}{2}

Popular Examples

simplify-log_{10}(10^{-14} 1/(5.4*10^{-4)})simplify

- lo g_{10} (1 0^{- 14} \frac{1}{5.4 \cdot 1 0 ^{- 4}})

simplify ln(4x^6y^8)simplify

ln (4 x^{6} y^{8})

simplify-1/pi ln((sqrt(6))/2)simplify

- \frac{1}{π} ln (\frac{6}{2})

simplify ln(3/(-1))simplify

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

simplify 0.15*log_{10}(1.31)+0.65*log_{10}((45.57+176)/(60))simplify

0.15 \cdot lo g_{10} (1.31) + 0.65 \cdot lo g_{10} (\frac{45.57 + 176}{60})

Frequently Asked Questions (FAQ)

What is 1/2 ln(1/2)-1/2 ?
The solution to 1/2 ln(1/2)-1/2 is -1/2 ln(2)-1/2