Use logarithms to solve the equation 2^(n-3) = 18000, giving your answer correct to 3 significant figures.

To find the answer first you have to take a log of both sides.

I am going to use log to the base 2 for my example - but any base will work as long as they are the same on both sides of the equals sign 

log(2n-3)=log(18000)

Using the rules of logerithms you can bring down the power

(n-3)log(2)=log(18000)

As I am using base 2 log(2)=1

n-3=log(18000)

n=log(18000)+3

n=17.1

EJ
Answered by Emily J. Maths tutor

6746 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is y' when y=3xsinx?


What does differentiation actually mean?


a typical question would be a setof parametric equations y(t) and x(t), asking you to find dy/dx and then the tangent/normal to the curve at a certain point (ie t = 2)


What is a moment and how do I calculate it?


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:

© 2026 by IXL Learning