What is (1/298+1/4038 ln((2.5)/(5-2.5)))^{-1} ?

The solution to (1/298+1/4038 ln((2.5)/(5-2.5)))^{-1} is 298

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simplify (1/298+1/4038 ln((2.5)/(5-2.5)))^{-1}

simplify

(\frac{1}{298} + \frac{1}{4038} ln (\frac{2.5}{5 - 2.5}))^{- 1}

298

Solution steps

(\frac{1}{298} + \frac{1}{4038} ln (\frac{2.5}{5 - 2.5}))^{- 1}

Apply exponent rule:

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

= \frac{1}{( \frac{1}{298} + \frac{1}{4038} ln ( \frac{2.5}{5 - 2.5} ) )}

\frac{2.5}{5 - 2.5} = 1

= \frac{1}{\frac{1}{298} + \frac{1}{4038} ln ( 1 )}

\frac{1}{4038} ln (1) = 0

= \frac{1}{\frac{1}{298} + 0}

Simplify

= 298

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What is (1/298+1/4038 ln((2.5)/(5-2.5)))^{-1} ?
The solution to (1/298+1/4038 ln((2.5)/(5-2.5)))^{-1} is 298