| Exam Board | Edexcel |
|---|
| Module | C12 (Core Mathematics 1 & 2) |
|---|
| Year | 2014 |
|---|
| Session | January |
|---|
| Topic | Simultaneous equations |
|---|
6. Given that \(a\) and \(b\) are positive constants, solve the simultaneous equations
$$\begin{gathered}
a b = 25
\log _ { 4 } a - \log _ { 4 } b = 3
\end{gathered}$$
Show each step of your working, giving exact values for \(a\) and \(b\).