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Popular >

12=21e^{20x}

Solution

12 = 21 e^{20 x}

Solution

x = \frac{ln ( \frac{4}{7} )}{20}

+1

Decimal Notation

x = - 0.02798 \dots

Solution steps

12 = 21 e^{20 x}

Switch sides

21 e^{20 x} = 12

Divide both sides by

21

e^{20 x} = \frac{4}{7}

Apply exponent rules

20 x = ln (\frac{4}{7})

Solve

20 x = ln (\frac{4}{7}) : x = \frac{ln ( \frac{4}{7} )}{20}

x = \frac{ln ( \frac{4}{7} )}{20}

Popular Examples

12000=1520*1.04^x

12000 = 1520 \cdot 1.0 4^{x}

3^{2x+1}=5(3^x)+2

3^{2 x + 1} = 5 (3^{x}) + 2

1 = e^{c}

e^{2/3 t}=e^{10}

e^{\frac{2}{3} t} = e^{10}

2 5^{9 x - 8} = 120

Frequently Asked Questions (FAQ)

What is the answer to 12=21e^{20x} ?
The answer to 12=21e^{20x} is x=(ln(4/7))/(20)