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

3651 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do I find the maxima and minima of f(x) = e^(x^2)?


A curve has equation y = f(x) and passes through the point (4, 22). Given that f'(x) = 3x^2 - 3x^(1/2) - 7, use integration to find f(x), giving each term in its simplest form


Prove the trigonometric identity tan^2(x)+1=sec^2(x)


Use the binomial series to find the expansion of 1/(2+5x)^3 in ascending powers of x up to x^3 (|x|<2/5)


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:

© 2025 by IXL Learning