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Pure mathematics: advanced

Quick questions on Exponentials and logarithms: e, the log laws and linearising models - OCR A-Level Maths A

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are the laws of logarithms?
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A logarithm answers "what power gives this number": log⁡ab=c\log_a b = c means ac=ba^c = b. The three laws turn products into sums and powers into multipliers, which is what lets us solve equations with the unknown in an exponent.
What is q1?
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Solve ln⁡(2x+1)=3\ln(2x + 1) = 3, giving your answer to three significant figures. [2 marks]
What is q2?
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Write 2log⁡10x−log⁡1032\log_{10} x - \log_{10} 3 as a single logarithm. [2 marks]

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