OCR MEI C2 — Question 6 5 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicFixed Point Iteration
TypeSolve exponential equation via iteration
DifficultyStandard +0.3 This is a straightforward exponential equation that simplifies to 2^(2x+1) = 10, solvable by taking logarithms or using iteration. While it requires understanding of index laws and logarithms, it's a standard C2 exercise with clear methodology and no conceptual obstacles, making it slightly easier than average.
Spec1.02a Indices: laws of indices for rational exponents1.06g Equations with exponentials: solve a^x = b
6 Find the solution to this equation, correct to 3 significant figures. $$\left( 2 ^ { x } \right) \left( 2 ^ { x + 1 } \right) = 10 .$$
AnswerMarks Guidance
use of index law \(2^{2x+1} = 10\)M1, A1
use of logarithms \((2x+1)\log 2 = \log 10\)M1, A1
\(x = 1.16\)A1 Total: 5 marks 
use of index law $2^{2x+1} = 10$ | M1, A1 |
use of logarithms $(2x+1)\log 2 = \log 10$ | M1, A1 |
$x = 1.16$ | A1 | **Total: 5 marks**
6 Find the solution to this equation, correct to 3 significant figures.

$$\left( 2 ^ { x } \right) \left( 2 ^ { x + 1 } \right) = 10 .$$

\hfill \mbox{\textit{OCR MEI C2  Q6 [5]}}
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Q1 5 Q2 3 Q3 4 Q4 5 Q5 5 Q6 5 Q7 5 Q8 4 Q9 12 Q10 12 Q11 12