Solving Exponential Equations using Laws of Indices · CSEC Additional Mathematics

22 past-paper questions on Solving Exponential Equations using Laws of Indices, part of Surds, Indices, and Logarithms, from every CSEC Additional Mathematics paper on Quelpr.

1. 1(b)4 marks· Additional Mathematics Q1 1(b)Solve the equation 2^(2x + 1) + 5(2^x) – 3 = 0.
2. 1(c)5 marks· Additional Mathematics Q1 1(c)Solve the equation 3^(2x) – 9(3^(-2x)) = 8.
3. 1(d)(i)2 marks· Additional Mathematics Q1 1(d)(i)Solve the equation: 16^(x+2) = 1/4.
4. 5(i)1 mark· Additional Mathematics Q5 5(i)Express 1/√32 as a power of 2.
5. 5(ii)1 mark· Additional Mathematics Q5 5(ii)Express (64)^(1/3) as a power of 2.
6. 5(iii)3 marks· Additional Mathematics Q5 5(iii)Hence solve the equation (64)^(1/3) = 1/(2^x √32).
7. 8(ii)4 marks· Additional Mathematics Q8 8(ii)Solve the equation 5^(4y - 1) / 25^y = 125^(y + 3) / 25^(2 - y).
8. Q121 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1\frac{2^{-1}}{8^{\frac{1}{3}}} simplifies to
9. Q141 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1The value of x for which 4^{x+1} = 2 is
10. Q121 mark · multiple choice· CSEC Additional Mathematics · 2014 · Paper 1\sqrt[4]{3 \times 27^m} is equal to
11. Q131 mark · multiple choice· CSEC Additional Mathematics · 2014 · Paper 1The value of x for which 4^{x+1} = 2 is
12. Q161 mark · multiple choice· CSEC Additional Mathematics · 2014 · Paper 1\frac{2^{-1}}{8^{\frac{1}{2}}} simplifies to
13. Q121 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1Given that 3 \times 27^{2x} = 9^x, the value of x is
14. Q131 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1\sqrt[n]{3 \times 27^m} is equal to
15. Q141 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1The value of x for which 4^{x+1} = 2 is
16. Q121 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1\sqrt[n]{3 \times 27^m} is equal to
17. Q131 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1The value of x for which 9^{x + 1} = 3 is
18. Q121 mark · multiple choice· CSEC Additional Mathematics · 2018 · Paper 1\sqrt{3 \times 27^{2m}} is equal to
19. Q131 mark · multiple choice· CSEC Additional Mathematics · 2018 · Paper 1The value of x for which 9^{x + 1} = 3 is
20. Q161 mark · multiple choice· CSEC Additional Mathematics · 2018 · Paper 1The value of x for which 3^{x + 2} + 3^x = 90 is
21. Q121 mark · multiple choice· CSEC Additional Mathematics · May/June 2017 · Paper 1\frac{2^{-1}}{8^{\frac{1}{3}}} simplifies to
22. Q131 mark · multiple choice· CSEC Additional Mathematics · May/June 2017 · Paper 1\sqrt[n]{3 \times 27^m} is equal to