Simplify and solve for x. log(x+1)+log 5=2. Note, log is the natural log in this case

so lets deal with 2 first. We can express 2 in terms of log5 by the laws of logs. nlogx=logx^n. re-writing 2 as 2log5=log25 we now have log(x+1)+log5=log25. lets apply a different log law: log(a)-log(b)=log(a/b). Therefore we get log(x+1)=log(25)-log(5)=log(25/5)=log(5). Now we can cancel the logs to get x+1=5 and now solve algebraically giving x=4

LM
Answered by Liam M. Maths tutor

6487 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

An object of mass 3kg is held at rest on a rough plane. The plane is inclined at 30º to the horizontal and has a coefficient of friction of 0.2. The object is released, what acceleration does the object move with?


How do I differentiate?


How to differentiate using the Product Rule


Show that sqrt(27) + sqrt(192) = a*sqrt(b), where a and b are prime numbers to be determined


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