Rewrite in the logarithmic form: T=2π√(L/G)

Firstly we should add log to both sides of the equation, knowing that modifying one side can be balanced by doing the exact same thing on the other side. On the right hand side, using logarithmic identities, we convert log(2π√(L/G)) into a sum of logs: log(2) + log(π) + log(√(L/G)). Looking at the third log, we know that the square root of L/G can also be expressed as L/G to the power of 1/2. Making use of another logarithmic identity, we can make log(√(L/G)) into 1/2log(L/G). Finally, we use another logarithmic identity to convert the division of L and G into a subtraction of logs, ending up with the final answer: log(T) = log(2) + log(π) + 1/2*(log(L) - log(G))