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

9500 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What does differentiating do?


For what values of k does the graph y=x^(2)+2kx+5 not intersect the x-axis


Where does the geometric series formula come from?


Curve C has equation x^2 - 3xy - 4y^2 + 64 = 0. a) find dy/dx in terms of x and y. b) find coordinates where dy/dx=0.


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:

© 2026 by IXL Learning