What is the answer to (e^{-4})/t = 1/4 ?

The answer to (e^{-4})/t = 1/4 is t= 4/(e^4)

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(e^{-4})/t = 1/4

\frac{e ^{- 4}}{t} = \frac{1}{4}

t = \frac{4}{e ^{4}}

Decimal Notation

t = 0.07326 \dots

Solution steps

\frac{e ^{- 4}}{t} = \frac{1}{4}

Refine

\frac{1}{e ^{4} t} = \frac{1}{4}

Cross multiply

4 = e^{4} t

Switch sides

e^{4} t = 4

Divide both sides by

e^{4}

t = \frac{4}{e ^{4}}

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

t = \frac{4}{e ^{4}}

\frac{( 5 + x )}{( 5 - x )} - \frac{( 5 - x )}{( 5 + x )} = \frac{33}{4}

0.1 t^{2} = \frac{200}{t}

\frac{3}{4 ( x - 6 ) ^{2} + 1} = 28

\frac{∣ - 0.42 ∣}{∣ x ∣} = ∣ 0.7 ∣

\frac{10 x}{8 - 7 x} = 15

What is the answer to (e^{-4})/t = 1/4 ?
The answer to (e^{-4})/t = 1/4 is t= 4/(e^4)