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

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

Answered by Graham R. Maths tutor

13147 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you integrate a fraction when x is on the numerator and denominator?


What is the point of a derivative?


How do you prove that (3^n)-1 is always a multiple of 2?


I'm trying to integrate f(x)=sin(x) between 0 and 2 pi to find the area between the graph and the axis but I keep getting 0, why?


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 2013–2024

Terms & Conditions|Privacy Policy