Moderate -0.3 This is a straightforward logarithm equation requiring application of the quotient rule for logs (ln a - ln b = ln(a/b)) and basic algebraic manipulation to solve for x in terms of e. It's slightly easier than average as it's a direct application of standard techniques with no conceptual challenges, though it requires more steps than the most trivial questions.
1
Candidates answer on the Question Paper.
Additional Materials: List of Formulae (MF9)
\section*{READ THESE INSTRUCTIONS FIRST}
Write your Centre number, candidate number and name in the spaces at the top of this page.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams or graphs.
Do not use staples, paper clips, glue or correction fluid.
Answer all the questions.
Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question.
The use of an electronic calculator is expected, where appropriate.
You are reminded of the need for clear presentation in your answers.
At the end of the examination, fasten all your work securely together. [0pt]
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 11 printed pages and 1 blank page.
1 Solve the equation \(\ln ( 3 x + 1 ) - \ln ( x + 2 ) = 1\), giving your answer in terms of e.
1
Candidates answer on the Question Paper.\\
Additional Materials: List of Formulae (MF9)
\section*{READ THESE INSTRUCTIONS FIRST}
Write your Centre number, candidate number and name in the spaces at the top of this page.\\
Write in dark blue or black pen.\\
You may use an HB pencil for any diagrams or graphs.\\
Do not use staples, paper clips, glue or correction fluid.\\
Answer all the questions.\\
Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question.\\
The use of an electronic calculator is expected, where appropriate.\\
You are reminded of the need for clear presentation in your answers.\\
At the end of the examination, fasten all your work securely together.\\[0pt]
The number of marks is given in brackets [ ] at the end of each question or part question.\\
The total number of marks for this paper is 50.
This document consists of 11 printed pages and 1 blank page.
1 Solve the equation $\ln ( 3 x + 1 ) - \ln ( x + 2 ) = 1$, giving your answer in terms of e.\\
\hfill \mbox{\textit{CAIE P2 2017 Q1 [4]}}