Simplify: (log(40) - log(20)) + log(3)

First, know the log rule: log(x) - log(y) = log(x/y)Second, know the log rule: log(a) + log(b) = log(ab)So, starting with the brackets: log(40) -log(20) = log(40/20) which is log(2).Now we have: log(2) + log(3).So, using the other log rule we can do: log(2) + log(3) = log(23) which is log(6).Therefore, (log(40) - log(20)) + log(3) = log(6)

ER
Answered by Edward R. Maths tutor

3185 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

If (m+8)(x^2)+m=7-8x has two real roots show that (m+9)(m-8)<0 where m is an arbitrary constant


Find the solutions of the equation 3cos(2 theta) - 5cos(theta) + 2 = 0 in the interval 0 < theta < 2pi.


How do I find the equation of a tangent to a given point on a curve?


Integrate x*sin(x) with respect to x.


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