AC9M10A03Year 10AlgebraPractised on site

AC9M10A03 — Year 10 Algebra

Official Curriculum Content Description:

recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate

Worked Examples (1)

Example 1Solving Exponential Equations & Relations
Solve the exponential equation for xx: 3x−1=93^{x - 1} = 9
Correct Answer:33
Worked Solution:
1. Write 99 as a power of 33: 9=329 = 3^{2} 2. Since the bases are equal, equate exponents: x−1=2  ⟹  x=2+1=3x - 1 = 2 \implies x = 2 + 1 = 3

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