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Given 23=82^3=823=8, what is log⁡28\log_2 8log2​8?

A

2log⁡ax+12log⁡ay−log⁡az2\log_a x+\frac12\log_a y-\log_a z2loga​x+21​loga​y−loga​z combines to log⁡a(x2yz)\boxed{\log_a\left(\frac{x^2\sqrt y}{z}\right)}loga​(zx2y​​)​.

B

log⁡28=3\log_2 8=\boldsymbol{3}log2​8=3

C

3log⁡ax+12log⁡ay−2log⁡az\boldsymbol{3\log_a x+\frac12\log_a y-2\log_a z}3loga​x+21​loga​y−2loga​z

D
  • Base: a>0\boldsymbol{a>0}a>0 and a≠1\boldsymbol{a\neq1}a=1
  • Argument: x>0\boldsymbol{x>0}x>0

Card 1 of 20

1.9.4 Laws of logarithms Flashcards

  1. A Level
  2. /Maths
  3. /1.9.4 Laws of logarithms

20 flashcards on AQA A Level Maths 1.9.4 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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