What are logarithms and how do you manipulate them?

A logarithms are the 3rd way of representing the interactions between bases and powers.To start we will cover basic algebra about powers or exponents. baseexponent = answer , 32 = 9This is the same as writing:exponent√ answer = base, 2√ 9 = 3But what happens if we only have a base and an answer? We find the exponent using an logarithm:log base(answer) = exponent , log3(9) = 2
There is several rules that logarithms have, these are called the Log Laws.1.BasicsThe easiest logs to solve are ones where the answer is 1.e.g. log x ( 1 ) = 0 , x can be any number except zeroBecause : x 0 = 1 The second easiest 2. Adding and subtractingIn order to add two logs together their bases must be the same. Adding to logs together looks like this: log2(3) + log2(5) = log2 ( 3 * 5) , notice the answers for the first to logs are multiplied together.

AS
Answered by Ashley S. Maths tutor

3228 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

I'm supposed to calculate the differential of f(x)= sin(x)*ln(x)*(x-4)^2 using the product rule. I know what the product rule is but I can't split this into two bits that are easy to differentiate. How do I do it?


How do i find dy/dx in terms of t for two parametric equations that are in terms of t.


Find the x coordinate of the stationary points of the curve with equation y = 2x^3 - 0.5x^2 - 2x + 4


Find the integral of 4sqrt(x) - 6/x^3.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences