What is the answer to 0.21=(1.3384)e^{2.558x} ?

The answer to 0.21=(1.3384)e^{2.558x} is x=(ln(\frac{0.21)/(1.3384))}{2.558}

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0.21=(1.3384)e^{2.558x}

0.21 = (1.3384) e^{2.558 x}

x = \frac{ln ( \frac{0.21}{1.3384} )}{2.558}

Decimal Notation

x = - 0.72405 \dots

Solution steps

0.21 = (1.3384) e^{2.558 x}

Switch sides

1.3384 e^{2.558 x} = 0.21

Divide both sides by

1.3384

e^{2.558 x} = \frac{0.21}{1.3384}

Apply exponent rules

2.558 x = ln (\frac{0.21}{1.3384})

Solve

2.558 x = ln (\frac{0.21}{1.3384}) : x = \frac{ln ( \frac{0.21}{1.3384} )}{2.558}

x = \frac{ln ( \frac{0.21}{1.3384} )}{2.558}

2^{2 x - 1} - 6 \cdot 2^{x - 1} = 0

x, 2^{- x} = 0

(0.5)^{2 x - 5} = 256

25 e^{\frac{x}{2}} = 750

What is the answer to 0.21=(1.3384)e^{2.558x} ?
The answer to 0.21=(1.3384)e^{2.558x} is x=(ln(\frac{0.21)/(1.3384))}{2.558}