O-LevelAdditional MathematicsLogarithmic and exponential functions4037/22 · May/June 2013 · Q26 Marks
Solve the equation 3^(p+1) = 0.7, giving your answer to 2 decimal places.
- (a)Solve the equation 3^(p+1) = 0.7, giving your answer to 2 decimal places.[3]
- (b)Express (y x (4x³)²) / √8y³ in the form 2^a x x^b x y^c, where a, b and c are constants.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2013). The mark or mark type is shown in brackets.
- [M1] (a) (p + 1) ln 3 = ln 0.7 or p + 1 = log₃ 0.7 or p ln 3 = ln(0.7/3)
- [M1] (a) p = (ln 0.7 / ln 3) - 1 or p = (lg 0.7 / lg 3) - 1 or p = log₃ 0.7 – 1 or p ln 3 = ln(0.7/3) ÷ ln 3
- [A1] (a) -1.32 cao
- [B3] (b) 2^(5/2) x⁶ y^(-1/2) or a = 5/2, b = 6, c = -1/2 (B1 for each component)
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →