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What does log⁡ax=b\log_a x=bloga​x=b tell you in exponential form?

A

The product law is log⁡a(xy)=\log_a(xy)=loga​(xy)= log⁡ax+log⁡ay\log_a x+\log_a yloga​x+loga​y, while the quotient law is log⁡a(xy)=\log_a\left(\frac{x}{y}\right)=loga​(yx​)= log⁡ax−log⁡ay\boxed{\log_a x-\log_a y}loga​x−loga​y​.

B
  • a>0a>0a>0
  • a≠1a\neq1a=1
  • x>0x>0x>0
C

ab=xa^b=xab=x

D

The power law gives log⁡a(xk)=\log_a(x^k)=loga​(xk)= klog⁡axk\log_a xkloga​x, so a coefficient moved inside becomes an exponent.

Card 1 of 21

1.5.5 Exponentials and logarithms Flashcards

  1. A Level
  2. /Maths
  3. /1.5.5 Exponentials and logarithms

21 flashcards on CCEA A Level Maths 1.5.5 Exponentials and logarithms: the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2.

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