Find the solution to ln(3)+ln(x)=ln(6)

To tackle this question, you will need to know about the rules for logarithms. Here we are going to use the product rule, where the addition of these two natural logarithms equals the product of the two compnents of each logarithm. In this case, ln(x)+ln(3)=ln(3x).

You are left with the equation ln(3x)=ln(6). To solve this, you use each exponential as a power of the exponontial function. So the equation becomes eln(3x)=eln(6). Since e is the base of the natural logarithm (ln), this equation simplifies to 3x=6, so x=2

TM
Answered by Tanush M. Maths tutor

17171 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve has equation 3x^4/3-16y^3/4=32. By differentiating implicitly find dy/dx in terms of x and y. Hence find the gradient of the curve at the point (8,1).


Which value of x gives the greatest value of "-x^2+8x-6"


∫ x^3 *ln(2x) (from 2->1) can be written in the form pln 2 + q, where p and q are rational numbers. Find p and q.


Solve the simultaneous equations: x+y =2; x^2 + 2y = 12


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