What is the answer to 1.2=3.3(e^{-(0.3)/x}) ?

The answer to 1.2=3.3(e^{-(0.3)/x}) is x=-(0.3)/(ln(4/11))

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1.2=3.3(e^{-(0.3)/x})

1.2 = 3.3 (e^{- \frac{0.3}{x}})

x = - \frac{0.3}{ln ( \frac{4}{11} )}

Decimal Notation

x = 0.29655 \dots

Solution steps

1.2 = 3.3 (e^{- \frac{0.3}{x}})

Switch sides

3.3 e^{- \frac{0.3}{x}} = 1.2

Multiply both sides by

10

33 e^{- \frac{0.3}{x}} = 12

Divide both sides by

33

e^{- \frac{0.3}{x}} = \frac{4}{11}

Apply exponent rules

- \frac{0.3}{x} = ln (\frac{4}{11})

Solve

- \frac{0.3}{x} = ln (\frac{4}{11}) : x = - \frac{0.3}{ln ( \frac{4}{11} )}

x = - \frac{0.3}{ln ( \frac{4}{11} )}

1.0 5^{x} = 160

x^{x} = π

6^{x^{2}} = 3 6^{5 x - 8}

40 = 100 e^{- 0.03 t}

x, y = e^{x + y}

What is the answer to 1.2=3.3(e^{-(0.3)/x}) ?
The answer to 1.2=3.3(e^{-(0.3)/x}) is x=-(0.3)/(ln(4/11))