Question 2 - A-Level Maths

Exam Board	OCR MEI
Module	C2 (Core Mathematics 2)
Marks	3
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Exponential Equations & Modelling
Type	Simple exponential equation solving
Difficulty	Easy -1.2 This is a straightforward one-step exponential equation requiring only taking logarithms of both sides and dividing. It's a routine textbook exercise testing basic logarithm manipulation with no problem-solving element, making it easier than average but not trivial since students must recall the correct technique.
Spec	1.06g Equations with exponentials: solve a^x = b

2 Solve the equation \(3 ^ { x } = 15\), giving your answer correct to 4 decimal places.

Answer	Marks	Guidance
\(3^x = 15 \Rightarrow x\log 3 = \log 15\)	M1
\(\Rightarrow x = \frac{\log 15}{\log 3} = 2.465\)	A1 A1	Total: 3

## Question 2:

$3^x = 15 \Rightarrow x\log 3 = \log 15$ | M1 |

$\Rightarrow x = \frac{\log 15}{\log 3} = 2.465$ | A1 A1 | **Total: 3**

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2 Solve the equation $3 ^ { x } = 15$, giving your answer correct to 4 decimal places.

\hfill \mbox{\textit{OCR MEI C2  Q2 [3]}}