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Exponentials and Logarithms

How do you solve 2x+1=642^{x+1}=642x+1=64 without using logarithms?

A

The range of the basic exponential function f(x)=exf(x) = e^xf(x)=ex is f(x)>0\boxed{f(x) > 0}f(x)>0​.

B
  • Rewrite 64 as 262^626
  • Equate indices: x+1=6x+1=6x+1=6
  • x=5x=5x=5
C

log⁡a(Mp)\log_a(M^p)loga​(Mp)

D

In the growth model P=AektP = Ae^{kt}P=Aekt, the population grows if k>0\boxed{k > 0}k>0​ and decays if k<0k < 0k<0.

Exponentials and Logarithms Flashcards

  1. A Level
  2. /Maths
  3. /Exponentials and Logarithms

Flashcards for Edexcel A Level Maths Exponentials and Logarithms, covering the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3. 21 cards drawn from 14.1 Exponential Functions, 14.2 y = e^x, 14.3 Exponential Modelling, 14.4 Logarithms, 14.5 Laws of Logarithms, 14.6 Solving Equations using Logarithms, 14.7 Working with Natural Logarithms, and 14.8 Logarithms and Non-Linear Data, matched to the Edexcel A Level Maths (9MA0) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.

Flashcards