O-LevelAdditional MathematicsLogarithmic and exponential functions4037/21 · May/June 2022 · Q15 Marks
Solve the equation 5ʷ⁻¹ = 12, giving your answer correct to 2 decimal places.
- (a)Solve the equation 5ʷ⁻¹ = 12, giving your answer correct to 2 decimal places.[2]
- (b)Solve the equation x¹ᐟ³ - 5x¹ᐟ³ + 6 = 0.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [M1] w-1=log₅12 or w-1=log12/log 5
- [A1] w = 2.54 cao
- [M1] Rewrites in quadratic form e.g.: y=x^(1/3) => y²-5y+6=0 or (x^(1/3))² -5x^(1/3)+6=0
- [M1] Factorises or solves their 3 term quadratic e.g. : (y – 2)(y - 3) = 0
- [A1] x = 8 and x = 27
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