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Popular >

18=4+21e^{20x}

Solution

18 = 4 + 21 e^{20 x}

Solution

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

+1

Decimal Notation

x = - 0.02027 \dots

Solution steps

18 = 4 + 21 e^{20 x}

Switch sides

4 + 21 e^{20 x} = 18

Move

4

to the right side

21 e^{20 x} = 14

Divide both sides by

21

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

Apply exponent rules

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

Solve

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

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

Popular Examples

solvefor x,e^x=2 solve for

x, e^{x} = 2

solvefor x,e^x=3 solve for

x, e^{x} = 3

3^{(x^2+3x)}=9^{(4x+12)}

3^{(x^{2} + 3 x)} = 9^{(4 x + 12)}

solvefor x,e^x=t solve for

x, e^{x} = t

solvefor x,-e^{-y}=e^x solve for

x, - e^{- y} = e^{x}

Frequently Asked Questions (FAQ)

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