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)

Answered by Edward R. Maths tutor

3056 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Prove that 2 cot (2x) + tan(x) == cot (x)


Find an expression in terms of powers of cos(x) for cos(5x)


Solve the equation 2x^3 - 5x^2 - 4x + 3 = 0.


Solve ln(2x-3) = 1


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences