Using logarithms solve 8^(2x+1) = 24 (to 3dp)

  • Google+ icon
  • LinkedIn icon
  • 1198 views

Using the laws of logs you can see that if you log both sides of the equation you get: 

(2x+1)*log(8) = log(24) 

Dividing both sides of the equation by log(8) you get: 

2x+1 = log(24)/log(8)

Then it is a simple case of solving for x: 

x = 0.5*(((log(24)/log(8))-1)

x = 0.264

Graham R. A Level Maths tutor, GCSE Maths tutor, A Level Physics tuto...

About the author

is an online A Level Maths tutor with MyTutor studying at Durham University

Still stuck? Get one-to-one help from a personally interviewed subject specialist.

95% of our customers rate us

Browse tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok