OCR MEI C2 2012 January — Question 6 3 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2012
SessionJanuary
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicExponential Equations & Modelling
TypeSimple exponential equation solving
DifficultyEasy -1.2 This is a straightforward single-step exponential equation requiring only isolation of the exponential term, taking logarithms of both sides, and applying log laws. It's a routine textbook exercise with no problem-solving element—purely mechanical application of a standard technique taught early in C2.
Spec1.06g Equations with exponentials: solve a^x = b

6 Use logarithms to solve the equation \(235 \times 5 ^ { x } = 987\), giving your answer correct to 3 decimal places.

Use logarithms to solve the equation \(235 \times 5^x = 987\), giving your answer correct to 3 decimal places. [3]
Use logarithms to solve the equation $235 \times 5^x = 987$, giving your answer correct to 3 decimal places. [3]
6 Use logarithms to solve the equation $235 \times 5 ^ { x } = 987$, giving your answer correct to 3 decimal places.

\hfill \mbox{\textit{OCR MEI C2 2012 Q6 [3]}}