1.6.8 Reduction to linear form

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]

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]

1.6.8 Reduction to linear form Questions