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Popular >

simplify e^{-ln|100-t|}

Solution

simplify

e^{- l n ∣ 100 - t ∣}

Solution

\frac{1}{∣ - t + 100 ∣}

Solution steps

e^{- l n ∣ 100 - t ∣}

Apply exponent rule:

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

= \frac{1}{e ^{l n ∣ 100 - t ∣}}

e^{l n ∣ 100 - t ∣} = ∣ 100 - t ∣

= \frac{1}{∣ 100 - t ∣}

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Frequently Asked Questions (FAQ)

What is e^{-ln|100-t|} ?
The solution to e^{-ln|100-t|} is 1/(|-t+100|)