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IB DP Maths: AI HL復習筆記4.3.3 Linearising using Logarithms

Category: IB課程, 教材筆記, 福利干貨 Date: 2022年7月21日 上午10:24

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.

2-7-2-a-we-image

2-7-2-ib-ai-hl-exp-relationships-we-solution

 

 

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

2-7-2-ib-ai-hl-power-relationships-we-solution

 

 

 

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