A school laboratory keeps two sealed gas canisters. The manufacturer prints the following statements on the labels:
(i) “The initial pressure P0 (in pascals) and the current pressure P (in pascals) satisfy P=1.2tP0, where t is the time in hours after sealing.”
(ii) “After t hours the pressure doubles, i.e. P0P=2.”
Answer the following with explicit mathematical steps:
(a) Rewrite the statement in part (i) in logarithmic form making t the subject.
(b) Using the result from part (a), find the exact value of t (correct to two decimal places) mentioned in part (ii).