# Logarithm graph

1. Jan 25, 2012

### maali5

1. The problem statement, all variables and given/known data

The table gives a firm’s monthly profits for their first few months of business. The numbers are rounded to the nearest £100.

Number of months after start up (x) 1 2 3 4 5 6
Profit for this month (£y) 500 800 1200 1900 3000 4800

The firm’s profits, £y, for the xth month after start up are modelled by

y = k x 10ax

where a and k are constants.

Plot this data on semi log paper to verify if this relationship is true.

2. Relevant equations

N/A

3. The attempt at a solution

That's why am asking for help. I do not know what to do.
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Jan 25, 2012

### vela

Staff Emeritus
It's not clear what you mean here. Did you mean $y=10akx^2$ or $y=k 10^{ax}$ or $y=k x 10^{ax}$ or something else altogether?

This is a good place to start.

3. Jan 25, 2012

### maali5

Sorry, I meant y=k x 10^{ax} and how should I start on drawing semi-log pap

4. Jan 25, 2012

### vela

Staff Emeritus
Is that x supposed to be the variable x or a multiplication sign?

5. Jan 25, 2012

### maali5

multiplication

6. Jan 25, 2012

### vela

Staff Emeritus
Check this out:

http://www.math.neu.edu/fries/semilog-ex-hwk.pdf [Broken]

Last edited by a moderator: May 5, 2017
7. Jan 25, 2012

### maali5

Thanks very much.

I have one more questions to ask that I'm stuck with. I'll post it later

Last edited by a moderator: May 5, 2017