What is e^{-3/2 ln(100+2t)} ?

The solution to e^{-3/2 ln(100+2t)} is 1/((2t+100)^{3/2)}

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simplify e^{-3/2 ln(100+2t)}

simplify

e^{- \frac{3}{2} l n (100 + 2 t)}

\frac{1}{( 2 t + 100 ) ^{\frac{3}{2}}}

Solution steps

e^{- \frac{3}{2} l n (100 + 2 t)}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{3}{2} l n (2 t + 100)}}

e^{\frac{3}{2} l n (100 + 2 t)} = (100 + 2 t)^{\frac{3}{2}}

= \frac{1}{( 100 + 2 t ) ^{\frac{3}{2}}}

x^{2} \cdot 2 \cdot u^{2}

, 8 \cdot 1 0^{- 1}

What is e^{-3/2 ln(100+2t)} ?
The solution to e^{-3/2 ln(100+2t)} is 1/((2t+100)^{3/2)}