432t 7SolutionWe have 432t 7 or 32t 74 On taking logarith

4(3^2t) = 7

We have 4(3^2t) = 7 or, 3^2t = 7/4. On taking logarithm of both the sides, we get log(3^2t) = log (7/4) or, 2t log 3 = log 7 -log 4 or, 2t = (log 7 -log4)/log 3 = (0.84509804- 0.602059991)/0.477121254 = 0.243038049/0.477121254 = 0.509384243. Hence t = 1/2(0.509384243)= 0.254692121