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Popular >

simplify (1/2)^{-2}ln(1/2)

Solution

simplify

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

Solution

- 4 ln (2)

+1

Decimal Notation

- 2.77258 \dots

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

\frac{1}{( \frac{1}{2} ) ^{2}} = 2^{2}

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

2^{2} = 4

= 4 ln (\frac{1}{2})

Simplify

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

= 4 (- ln (2))

Remove parentheses:

(- a) = - a

= - 4 ln (2)

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Frequently Asked Questions (FAQ)

What is (1/2)^{-2}ln(1/2) ?
The solution to (1/2)^{-2}ln(1/2) is -4ln(2)