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

6055 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve these simultaneous equations: 2x+y-5=0 and x^2-y^2=3


Using the limit definition of the derivative, find the derivative of f(x)=sin(3x) at x=2π


If y=5x+4x^3, find dy/dx.


Integrate using by parts twice : ∫e^(x)*(cos(x))dx


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