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

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Question 12

Two variables $x\,$ and $y\,$ are related by the formula $y = ax^b$ where $a\,$ and $b\,$ are constants.

Show that this relationship can be written in the form $log⁡y=log⁡a+blog⁡x\log y = \log a + b \log x$

[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

Question bank

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

Easy Medium

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 12

Two variables $x\,$ and $y\,$ are related by the formula $y = ax^b$ where $a\,$ and $b\,$ are constants.

Show that this relationship can be written in the form $log⁡y=log⁡a+blog⁡x\log y = \log a + b \log x$

[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.