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

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Question 4

The population, $P$ , of a bacteria culture at time $t\,$ is modeled by the formula $P = kt^r$ , where $k\,$ and $r\,$ are constants.

Show that this relationship can be written in the form $log⁡P=log⁡k+rlog⁡t\log P = \log k + r \log t$ .

[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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Question 4

The population, $P$ , of a bacteria culture at time $t\,$ is modeled by the formula $P = kt^r$ , where $k\,$ and $r\,$ are constants.

Show that this relationship can be written in the form $log⁡P=log⁡k+rlog⁡t\log P = \log k + r \log t$ .

[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.