Rearranging the equation into the following form.

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SUMMARY

The discussion centers on rearranging the equation from the form y = mx + c to y = a × b^c. The original equation provided is ln(y) = 0.7643ln(x) + 3.5635. The correct transformation leads to y = 35.28 × x^0.7643, confirming that the rearrangement is accurate. The user expresses confusion over incorrect results when applying the equation, indicating that the issue lies elsewhere, not in the rearrangement process.

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Hfuais
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1. Hi, I got an equation in the form of y= mx + c and need help rearranging it into the form of y = a X b^c.
2. The equation I started with was: ln(y) = 0.7643ln(x) + 3.5635
3. I attempted to do the following, but I can't seem to make it work, I think maybe the underlined steps are around where I got it wrong?
ln⁡(y)= 0.7643 × ln⁡(x) + 3.5635

ln⁡(y)= 0.7643 ln⁡(x) + ln⁡35.28
ln⁡(y)= ln(x)^0.7643 + ln 35.28

ln⁡(y) =ln⁡(35.28 ×(x)^0.7643)
y=35.28 × x^0.7643

 
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Looks fine to me. What do you mean you "can't seem to make it work"?
 
When I enter the data into the equation, the results I get are not correct. I assumed it was due to a mistake when re arranging the equation, however it seems to be another issue. Thanks :)
 

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