"e" (Edexcel A-Level Mathematics): Quizzes

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What is the approximate value of ee?

2.7182818282.718281828

If y=exy = e^{x}, what is dydx\frac{dy}{dx}?

exe^{x}

Which function is used to solve equations involving exe^{x}?

Natural logarithm ln⁡\ln

To solve e2x+3=5e^{2x+3} = 5, what is the first step?

Take ln⁡\ln of both sides

What is dydx\frac{dy}{dx} for y=ekxy = e^{kx}?

kekxke^{kx}

What does eln⁡(x2)e^{\ln(x^2)} simplify to?

x2x^2

When solving eln⁡(x2)=25e^{\ln(x^2)} = 25, why is x=−5x = -5 invalid?

ln⁡(−5)\ln(-5) is undefined

To solve ln⁡(x−4)=7\ln(x-4) = 7, what should you do to both sides?

Exponentiate

For M=40e−0.132tM = 40e^{-0.132t}, what is the mass when t=0t = 0?

4040 grams

What is the relationship between ln⁡(x)\ln(x) and exe^{x}?

They are inverse functions

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