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SingaporeAdditional MathematicsQuick questions

Logarithmic and Exponential Functions

Quick questions on Laws of logarithms: N(A)-Level Additional Mathematics

4short 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 three laws?
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$log⁡a(xy)=log⁡ax+log⁡ay(product law)\log_a(xy) = \log_a x + \log_a y \quad\text{(product law)}$
What is q1?
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Evaluate log⁡381\log_3 81. [1 mark]
What is q2?
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Write log⁡5+log⁡4\log 5 + \log 4 as a single logarithm and evaluate. [2 marks]
What is q3?
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Express 3log⁡x−log⁡y3\log x - \log y as a single logarithm. [2 marks]

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