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))

JP
Answered by Javier P. Maths tutor

14970 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

what is 64 to the power of 2/3?


Solve the equation (6/x-2)-(6/x+1) =1


In a recent election, 42% of the voters were male. There were 400 more female voters than male voters. Assuming all voters are either male or female, how many voters were there overall?


Find the volume of a cone with radius 13cm and with a perpendicular height of 9cm.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning