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Mathematics Grade 10 Unit 3: Exponential and Logarithmic Functions…

national exam questions have come from this unit. It runs 78 pages; one careful study pass takes about 5.3 hours, and its difficulty is harder among Mathematics units. Each section below lists the questions set from it, with the year, and opens the page that teaches it.

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3.1 Exponents and Logarithms · read p. 122
  • 2018 E.C., Q25 – What is the solution set of $\log_{2} x + \log_{2}(x + 3) = 2$?
  • 2017 E.C., QNone – Which one of the following function is NOT a power function?
  • 2017 E.C., Q22 – When the number $43\times10^8\times10^{-5}$ is written in standard form, it equals
  • 2017 E.C., Q8 – If $x = 0.00471$, then which of the following gives the mantissa of $\log x$?
  • 2017 E.C., Q7 – Given that $\log 4.8 = 0.6812$, $\log 6.93 = 0.8406$ and $\log 6.84 = 0.8351$, then what is the value of $\sqrt{48}$?
  • 2017 E.C., Q16 – Consider the equation $\log x + \log(x - 3) = 1$. Then what is its solution set?
  • 2016 E.C., Q11 – Which of the following is the characteristic of $\log(20 + \frac{1}{5})$?
  • 2015 E.C., Q32 – If $f$ and $g$ are functions defined by $f(x)=x^7-10x^5+x^3$ and $g(x)=e^{-2x}$ respectively, then which one of the following is true?
  • 2015 E.C., Q9 – The domain of the function $f(x)=2x^{\frac{2}{3}}$ is
3.2 The Exponential Functions and Their Graphs · read p. 153
  • 2018 E.C., Q13 – Which one of the following is NOT a power function?
  • 2016 E.C., Q48 – Which one of the following defines an exponential function?
3.3 The Logarithmic Functions and Their Graphs · read p. 163
  • 2018 E.C., Q30 – Which statement is true about the graphs of the exponential functions f(x)= and g(x)= where a>1?
  • 2018 E.C., Q24 – Let and . Consider and . Then which one of the following statements is true about their domains and ranges?
  • 2018 E.C., Q7 – Which one of the following sets is the solution of $\log_3 x + \log_3 (x - 2) = 1$?
  • 2015 E.C., Q6 – Consider the graph of which is shown below. Which one of the following is NOT true about the function ?
  • 2014 E.C., Q18 – Consider the graphs of the functions y = a x and y = log a x for a > 0 and a ≠ 1. Which of the following is true about the functions?
3.4 Solving Exponential and Logarithmic Equations · read p. 172
  • 2017 E.C., Q48 – Which one of the following is the solution set of $5^x = 11.2$? [Use $ ext{log } 5 = 0.6990$ and $ ext{log } 1.12 = 0.0485$]
3.5 Relation between Exponential and Logarithmic functions · read p. 178
Not asked in a national paper yet.
3.6 Applications · read p. 182
Not asked in a national paper yet.