Number Operations · JHS2 Mathematics

Lesson notes

Indicator: B8.1.2.3.3 - Solve exponential equations

By the end of the lesson, learners can:

Solve simple exponential equations by expressing both sides as powers of the same base.
Apply the laws of indices (product law, quotient law, and power of a power law) when solving exponential equations.
Rewrite given numbers as powers of natural numbers before equating indices.
Check solutions to exponential equations by substitution into the original equation.
Solve real-life problems that reduce to exponential equations.

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Strand: Number (Strand 1)
Sub-strand: Number Operations (1.2)
Content standard: B8.1.2.3 - Demonstrate understanding and the use of the laws of indices in solving problems (including real life problems) involving powers of natural numbers
Indicator: B8.1.2.3.3 - Solve exponential equations
Suggested placement: Term 1, Week 10 (Week 10 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 101
Transcribed from the official NaCCA publication. Check this page against the source.

E.g.1 Solve these equations
i. 25 = 5 2x
ii. 2 x+2 = 16
iii. 2 5 = 2 2x 2 3
iv. 1 = 3 x 27