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Express log⁡381=4\log_3 81=4log3​81=4 in exponential form.

A

For real logarithms, the argument must satisfy x>0\boxed{x>0}x>0​.

B

The power law is log⁡a(xk)=klog⁡ax\boxed{\log_a(x^k)=k\log_a x}loga​(xk)=kloga​x​.

C

3log⁡ax+12log⁡ay−2log⁡az\mathbf{3\log_a x+\frac{1}{2}\log_a y-2\log_a z}3loga​x+21​loga​y−2loga​z

D

34=81\mathbf{3^4=81}34=81

Card 1 of 20

1.6.6 Laws of logarithms Flashcards

  1. A Level
  2. /Maths
  3. /1.6.6 Laws of logarithms

20 flashcards on OCR A Level Maths 1.6.6 Laws of logarithms: the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.

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