| Exam Board | SPS |
|---|
| Module | SPS FM (SPS FM) |
|---|
| Year | 2022 |
|---|
| Session | October |
|---|
| Topic | Laws of Logarithms |
|---|
9. a) Write the following as a single logarithm
$$3 \log ( x ) - \frac { 1 } { 2 } \log ( y ) + 2$$
b) Solve \(2 ^ { x } e ^ { 3 x + 1 } = 10\)
Giving your answer to (b) in the form \(\frac { \ln a + b } { \ln c + d }\), where \(a , b , c\) and \(d\) are integers.
[0pt]
[BLANK PAGE]