1. Given that x and y are both positive, solve the simultaneous equations
log(xy) =7
log(x/y) =1
Answers given: x = 10000
y = 1000
2. log (p - q +1) =0
log (pq) + 1 = 0
Show that p = q = 1/square root 10
3. Solve the following equation for x:
2^2x + 1 - 9 x 2^x + 4 = 0
Answer given: -1, 2
4. Example of exam question
Solve the pair of simultaneous equations
log(x + y) = 0
2 log x = log (y - 1)