IB DP Maths: AI HL复习笔记4.3.3 Linearising using Logarithms
Exponential Relationships
How do I use logarithms to linearise exponential relationships?
- Graphs of exponential functions appear as straight lines on semi-log graphs
How can I use linearised data to find the values of the parameters in an exponential model y = abx?
Worked Example
Hatter has noticed that over the past 50 years there seems to be fewer hatmakers in London. He also knows that global temperatures have been rising over the same time period. He decides to see if there could be any correlation, so he collects data on the number of hatmakers and the global mean temperatures from the past 50 years and records the information in the graph below.
Power Relationships
How do I use logarithms to linearise power relationships?
- Graphs of power functions appear as straight lines on log-log graphs
How can I use linearised data to find the values of the parameters in an power model y = axb?
Worked Example
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