Solve simple exponential equations
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Log in to continueRewrite values using a common base and solve the resulting exponent equation.
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Solve 2^x = 1/8.
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Answer: -3
- Write 1/8 as a power of 2.
- 1/8 = 2^-3.
- The exponents must match: x = -3.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Rewrite values using a common base and solve the resulting exponent equation.
Read the official VCAA curriculum description (VC2M10A14)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
- VC2M10A14-C01Recognise positive, zero and negative integer powers.
- VC2M10A14-C02Solve a linear expression after matching the base.
- VC2M10A14-C03Apply and explain solve simple exponential equations using calculate and explain each step.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Match powersRecognise positive, zero and negative integer powers.
- D02Undo a shift in the exponentSolve a linear expression after matching the base.
- D03Calculate and explain each stepApply and explain solve simple exponential equations using calculate and explain each step.