What is the answer to (e^{-t*1000})/(41.3)=1 ?

The answer to (e^{-t*1000})/(41.3)=1 is t=-(ln(41.3))/(1000)

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(e^{-t*1000})/(41.3)=1

\frac{e ^{- t \cdot 1000}}{41.3} = 1

t = - \frac{ln ( 41.3 )}{1000}

Decimal Notation

t = - 0.0037208625

Solution steps

\frac{e ^{- t \cdot 1000}}{41.3} = 1

Multiply both sides by

41.3

\frac{e ^{- t \cdot 1000}}{41.3} \cdot 41.3 = 1 \cdot 41.3

Simplify

e^{- t \cdot 1000} = 41.3

Apply exponent rules

- t \cdot 1000 = ln (41.3)

Solve

- t \cdot 1000 = ln (41.3) : t = - \frac{ln ( 41.3 )}{1000}

t = - \frac{ln ( 41.3 )}{1000}

9^{x} - 3^{x} - 72 = 0

\frac{3 ^{x} + 3}{( 3 ^{x} )} = 4

e^{z} = 0

0. 1^{n} = 0.1333

e^{x} = e^{2}

What is the answer to (e^{-t*1000})/(41.3)=1 ?
The answer to (e^{-t*1000})/(41.3)=1 is t=-(ln(41.3))/(1000)