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

15291 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The normal to the curve C when x=1 intersects the curve at point P. If C is given by f(x)=2x^2+5x-3, find the coordinates of P


A particle of mass 0.8 kg moving at 4 m/s rebounds of a wall with coefficient of restitution 0.3. How much Kinetic energy is lost?


What is the difference between definite and indefinite integrals?


How do you prove two straight lines intersect?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences