Exponent and Logarithm

Learning Objectives


SL 1.2: Exponents and Logarithms 

  • Laws of Exponents and Logarithms
  • Laws of exponents with integer exponents
  • Laws of exponents with rational exponents. 
  • Laws of logarithms. 
  • Change of base of a logarithm. 
  • Introduction to logarithms with base 10 and e

Applications  

  • Solving exponential equations, including using a logarithm
  • Numerical evaluation of logarithms using technology
  • Exponential Equations
  • compound interest 
  •  annual depreciation.

Logarithmic and Exponential Functions


  • Logarithmic and exponential functions are inverse to each other, so they are symmetrical to the function of y=x. The symmetrical of y=x is universal to all inverse functions

 

  • An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function which gives output y. For example, is a function of f(x)=5 when x=1, then the inverse will produce 1 and its input is equal to 5

 

  • Since logarithmic and exponential functional are inverse to each other, they coordinates are also symmetric origin

 

Note: This is just an extension for this topic here, more details will be taught in function, topic 2

Practice Problems


Exercises Logarithmic Function
PDF – 228.0 KB 94 downloads
Exercises Logarithmic Function Solution
PDF – 272.2 KB 90 downloads

Solution for "Find the value of y"

Practice Test 


Exponent And Logarithm Test 1
PDF – 702.3 KB 85 downloads