Linear Function of x: Simplifying ln(y) with 6.3 and 1.5 coefficients

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SUMMARY

The discussion centers on transforming the equation y=(6.3)(1.5)x into a linear function of x using natural logarithms. The correct formulation is ln(y) = x ln(1.5) + ln(6.3), confirming that ln(y) is indeed a linear function of x, as x is only raised to the first power. Participants validate this approach, emphasizing the importance of recognizing the linear relationship in logarithmic transformations.

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enkrypt0r
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Hey guys, I'm absolutely stuck on how to do this. I really don't even know where to begin. A push in the right direction would be great! Here's the problem:

Let y=(6.3)(1.5)x. Write ln(y) as a linear function of x.

I came up with this, bu I don't think it's right:

ln(y)= x ln(1.5) + ln(6.3)

Is that what they're looking for? Or am I way off?
 
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Yes, that looks good. You can see that ln(y) is a linear function of x, because x appears only raised to the first power.
 
Great, thanks for the confirmation!
 

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