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Popular >

18=4+e^{20k}21

Solution

18 = 4 + e^{20 \cdot k} \cdot 21

Solution

k = \frac{ln ( \frac{2}{3} )}{20}

+1

Decimal Notation

k = - 0.02027 \dots

Solution steps

18 = 4 + e^{20 k} \cdot 21

Switch sides

4 + e^{20 k} \cdot 21 = 18

Move

4

to the right side

e^{20 k} \cdot 21 = 14

Divide both sides by

21

e^{20 k} = \frac{2}{3}

Apply exponent rules

20 k = ln (\frac{2}{3})

Solve

20 k = ln (\frac{2}{3}) : k = \frac{ln ( \frac{2}{3} )}{20}

k = \frac{ln ( \frac{2}{3} )}{20}

Popular Examples

e^{z} = - 2

7^{m + 6} = 8

2 5^{x} = \frac{1}{125}

3^{2 x - 5} = 27

3^{x+4}=2^{x-16}

3^{x + 4} = 2^{x - 16}

Frequently Asked Questions (FAQ)

What is the answer to 18=4+e^{20*k}*21 ?
The answer to 18=4+e^{20*k}*21 is k=(ln(2/3))/(20)