Unit 2 · Logarithms
15 randomly selected questions from a bank of 60 · one attempt · 15 minutes on the clock.
Student Learning Outcomes covered
- Express a number in standard form of scientific notation and vice versa
- Define logarithm of a real number to a base a (a\u02e3 = y \u21d4 log\u2090y = x, a>0, y>0, a\u22601)
- Define common logarithm, characteristic and mantissa of the log of a number
- Use tables to find the log of a number; give the concept of antilog and use tables to find it
- Use a calculator to find the log and antilog of a number
- Differentiate between common and natural logarithms (log y vs ln y)
- Prove and apply the laws of logarithms: log(mn), log(m/n), log(m\u207f), and log\u2090m\u00b7log\u2098n
- Apply these laws to convert multiplication, division and exponentiation into addition and subtraction
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