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1.6.7 Equations involving exponentials

Card 1 of 22

Why can 5x=−35^x=-35x=−3 have no real solution?

A

An exponential output is always positive: 5x>05^x>05x>0.

B

There is no solution.

C

The logarithmic form of ax=ba^x=bax=b is x=log⁡ab\boxed{x=\log_a b}x=loga​b​.

D

Taking natural logarithms of 32x−1=73^{2x-1}=732x−1=7 gives (2x−1)ln⁡3=ln⁡7\boxed{(2x-1)\ln3=\ln7}(2x−1)ln3=ln7​.

Card 1 of 22

1.6.7 Equations involving exponentials Flashcards

  1. A Level
  2. /Maths
  3. /1.6.7 Equations involving exponentials

22 flashcards on OCR A Level Maths 1.6.7 Equations involving exponentials: the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.

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