Logarithms and simultaneous equations

Assignment Help Basic Statistics
Reference no: EM13120824

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)

Reference no: EM13120824

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