What is e^{-2ln((5t+500)/(500))} ?

The solution to e^{-2ln((5t+500)/(500))} is (10000)/((t+100)^2)

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simplify e^{-2ln((5t+500)/(500))}

simplify

e^{- 2 l n (\frac{5 t + 500}{500})}

\frac{10000}{( t + 100 ) ^{2}}

Solution steps

e^{- 2 l n (\frac{5 t + 500}{500})}

Apply exponent rule:

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

= \frac{1}{e ^{2 l n (\frac{5 t + 500}{500})}}

e^{2 l n (\frac{5 t + 500}{500})} = \frac{( t + 100 ) ^{2}}{10 0 ^{2}}

= \frac{1}{\frac{( t + 100 ) ^{2}}{10 0 ^{2}}}

Simplify

= \frac{10000}{( t + 100 ) ^{2}}

e^{- \frac{π 4 x - 1}{4 x - 1}}

(5.67 \cdot 1 0^{- 8}) (5700)^{4}

(\frac{2}{3} z^{9}) (9 z^{7})

442236.204 \cdot 1 0^{- 8}

What is e^{-2ln((5t+500)/(500))} ?
The solution to e^{-2ln((5t+500)/(500))} is (10000)/((t+100)^2)