Express 2 ln(3) + ln(11) as a single natural logarithm

To simplify this equation we need to understand the rules of logarithm equations. When we add two natural logs (ln) together, we must actually multiply the contents of the brackets. For example:ln(5) + ln(9) = ln(5 x 9) = ln(45)Another rule to note when addressing this question, is the prefix to the natural log. This is the number before the natural log. This number is actually used as a power to the number within the brackets. For example:4ln(2) = ln(2^4) = ln(16)This rule is therefore useful in simplifying the natural logarithm. Now, with the rules that I have just discussed, the question can be answered.{ANSWER: 2ln(3) + ln(11) = ln(3^2) + ln(11) = ln(9) + ln(11) = ln(11*9) = ln(99)}

JK
Answered by Jordan K. Maths tutor

9088 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A child of m1=48 kg, is initially standing at rest on a skateboard. The child jumps off the skateboard moving horizontally with a speed v1=1.2 ms^-1. The skateboard moves with a speed v2=16 ms^-1 in the opposite direction. Find the mass of the skateboard.


find dy/dx when y=x^3 + sin2x


Find the derivative of y = 3x^4 - 10x^2+7x


An open-topped fish tank is to be made for an aquarium. It will have a square base, rectangular sides, and a volume of 60 m3. The base materials cost £15 per m2 and the sides £8 per m2. What should the height be to minimise costs?


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