Log/Exponent Graphs

[dmission]

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Hi all. One of the questions in my bio review book has a question that essentially asks you to identify, of four different graphs, which one represents the 'exponential portion' of population growth on a logarithmic scale. In all the answer choices, the X axis is time, and the Y axis is Log (# individuals ).

The correct answer is just a straight line (positive slope). I had thought it would be the typical log (sharp slope, then flattening out) or exponent (slow slope, which gets higher quickly) graph. I was wondering if anyone could explain to me why the straight line is the answer.

Thanks!

 

[loveoforganic]

Exponential growth denoted normally

t0 = 1 bacteria
t1 = 10
t2 = 100
t3 = 1000

Exponential growth denoted through a log function

t0 = log1 bacteria = 0
t1 = log10 = 1
t2 = log100 = 2
t3 = log1000 = 3

Transforming an example of exponential growth into a log function turns the graph linear

 

[dmission]

Exponential growth denoted normally

t0 = 1 bacteria
t1 = 10
t2 = 100
t3 = 1000

Exponential growth denoted through a log function

t0 = log1 bacteria = 0
t1 = log10 = 1
t2 = log100 = 2
t3 = log1000 = 3

Transforming an example of exponential growth into a log function turns the graph linear

Appreciate it, thanks 👍