the transformation that gives a straight line graph

• May 2nd 2009, 03:03 PM
change_for_better
the transformation that gives a straight line graph
Can you clarify this question for me:

Consider the relation y=25e^3x ,the transformation that gives a straight line graph is:

1)lny is plotted against ln(3x)
2)lny is plotted against lnx
3)y is plotted against x
4)y is plotted against lnx
5)lny is plotted against x
• May 2nd 2009, 04:37 PM
Jester
Quote:

Originally Posted by change_for_better
Can you clarify this question for me:

Consider the relation y=25e^3x ,the transformation that gives a straight line graph is:

1)lny is plotted against ln(3x)
2)lny is plotted against lnx
3)y is plotted against x
4)y is plotted against lnx
5)lny is plotted against x

If $y = 25 e^{3x}$ then $\ln y = \ln 25 + \ln e^{3x} = \ln 25 + 3x$ so here it's $\ln y \; \text{vs}\; x$
• May 2nd 2009, 05:18 PM
change_for_better
Quote:

Originally Posted by danny arrigo
If $y = 25 e^{3x}$ then $\ln y = \ln 25 + \ln e^{3x} = \ln 25 + 3x$ so here it's $\ln y \; \text{vs}\; x$

Thank you very much :)