Logarithms
A logarithm is the invers of an exponent. Logarithms are functions. Logarithm functions denoted as log. It allows to answer, “4 raised to what power equals 64”. In this example answer is 3 which is an integer. But logarithm allows to find any power of numbers. As we mentioned before logarithms are functions and they have domains and ranges. These are actually some limitations for logarithms. In a logarithm function like
a must be positive and not equal to 1.
b must be positive.
İf these two occur then you can say this logarithm means;
As you can easily recognize logarithm undoes the exponential functions. Since the logarithm is simply inverse of the exponential function the graph of logarithms is reflection of exponential function, across the line x=y.
In IB Math AA syllables logarithms are seen at
IB Math SL AA Topic 1 Logarithms
IB Math HL AA Topic 1 Logarithms
IB Math AA questions about logarithms are related with arithmetic and geometric sequences in topic.1 and also derivative and integration in topic 5.
Laws of logarithms allow you to simplify and manipulate expressions involving logarithms. Laws are given in IB Math SL DataBooklet. (data booklet a link verebiliriz)
Logarithmic equations are prevalent in various scientific and financial calculations, offering a mathematical framework to describe phenomena involving exponential change or growth.
Natural logarithms are logarithms to the base number e. We denote these logarithmic functions as 
.
Common logarithms are logarithms to the base number 10. These logarithms are written as simply 
. Without writing the base of logarithm.
Before solving questions be sure you should know the laws of logarithms.
Logarithms of 1
Logarithms of bases
Power Rule of Logarithms
Sum of Logarithms
Difference of Logarithms
Base change of Logarithms
You can find more in EduIB Key Concepts. EduIB Questionbank gives you opportunity to solve real past paper like questions about logarithms. (sorulara link verebiliriz)
For example one of logarithm question in EduIB is shown below. It is very similar to IB Math SL Exam in May 2013.
