O-LevelAdditional MathematicsIndices and surds4037/22 · Oct/Nov 2020 · Q24 Marks
Find the value of x such that 4^(x+1) / 2^(x-1) = 32^(2/3) x 8^(1/3).
- Find the value of x such that 4^(x+1) / 2^(x-1) = 32^(2/3) x 8^(1/3).[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [M1] 2^(2x+2) / 2^(x-1) = 2^(5x/3) * 2^1 Convert all to powers of 2 – allow one error.
- [M1] 2^(x+3) = 2^(5x/3 + 1) Use a^x / a^y and (a^x)^y correctly on their expression. Allow one arithmetic slip.
- [M1] x+3 = 5x/3 + 1 Dep on previous M1. Forms linear equation using their powers correctly.
- [A1] x = 3
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