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1.8.7 Reduce y = ax^n and y = ab^x to linear form

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Question 9

The relationship between the power, $W$ , and the current, $I$ , in an electrical component is modeled by $W = rI^k$ , where $r\,$ and $k\,$ are constants.

Show that this relationship can be written in the form $log⁡W=log⁡r+klog⁡I\log W = \log r + k \log I$ .

[3]

Markscheme

1.8.7 Reduce y = ax^n and y = ab^x to linear form Questions

A Level
Maths
1.8.7 Reduce y = ax^n and y = ab^x to linear form

42 exam-style questions on OCR (MEI) A Level Maths 1.8.7 Reduce y = ax^n and y = ab^x to linear form. Each one has a worked solution and a mark scheme showing where the marks go.

1.8.7 Reduce y = ax^n and y = ab^x to linear form

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1.8.7 Reduce y = ax^n and y = ab^x to linear form

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41

Question 9

The relationship between the power, $W$ , and the current, $I$ , in an electrical component is modeled by $W = rI^k$ , where $r\,$ and $k\,$ are constants.

Show that this relationship can be written in the form $log⁡W=log⁡r+klog⁡I\log W = \log r + k \log I$ .

[3]

Markscheme

1.8.7 Reduce y = ax^n and y = ab^x to linear form Questions

A Level
Maths
1.8.7 Reduce y = ax^n and y = ab^x to linear form

42 exam-style questions on OCR (MEI) A Level Maths 1.8.7 Reduce y = ax^n and y = ab^x to linear form. Each one has a worked solution and a mark scheme showing where the marks go.