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

14087 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I calculate the gradient of a linear (straight) graph?


A bag contains 8 oranges, 9 pears and 13 apples. What is the probability a pear is picked?


expand and simplify (x+3)(x-7)


Solve the following simultaneous equations to give a value for both x and y: 3x+3y=9 and 2x+3y=5


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences