Rearranging the equation into the following form.

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The discussion focuses on rearranging the equation ln(y) = 0.7643ln(x) + 3.5635 into the form y = a x^b. The user initially attempted several steps but expressed confusion about their accuracy. After some manipulation, they arrived at y = 35.28 × x^0.7643, which appears correct. However, the user reports that entering data into this equation yields incorrect results, suggesting the issue may lie elsewhere rather than in the rearrangement process. The conversation highlights the importance of verifying both the mathematical manipulation and the data input for accurate outcomes.
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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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