| Exam Board | SPS |
|---|---|
| Module | SPS SM (SPS SM) |
| Year | 2021 |
| Session | November |
| Marks | 2 |
| Topic | Exponential Equations & Modelling |
| Type | Simple exponential equation solving |
| Difficulty | Easy -1.3 This is a straightforward exponential equation requiring only basic index law manipulation: rewrite √3 as 3^(1/2), 1/9 as 3^(-2), combine to get 3^(x+1/2) = 3^(-2), then equate exponents. It's simpler than average A-level questions as it requires just one technique with no problem-solving or multi-step reasoning. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.06g Equations with exponentials: solve a^x = b |
\begin{enumerate}
\item Do not use a calculator for this question
\end{enumerate}
Find the value of $x$ for which $\sqrt { 3 } \times 3 ^ { x } = \frac { 1 } { 9 }$\\[0pt]
[2 marks]\\
\hfill \mbox{\textit{SPS SPS SM 2021 Q1 [2]}}