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

3493 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Prove or disprove the following statement: ‘No cube of an integer has 2 as its units digit.’


A curve has parametric equations x = 2 sin θ, y = cos 2θ. Find y in terms of x


Find the equation for the tangent to the curve y^3 + x^3 + 3x^2 + 2y + 8 = 0 at the point (2,1)


The circle C has centre (2,1) and radius 10. The point A(10,7) lies on the circle. Find the equation of the tangent to C at A and give it in the form 0 =ay + bx + c.


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