Solving P=15(1.5)^t - Find the Answer Easier Than Expected

  • Context: High School 
  • Thread starter Thread starter Tom McCurdy
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SUMMARY

The discussion centers on solving the equation P=15(1.5)^t by converting it into the exponential form P=15e^(ln(1.5)t). Participants emphasize the importance of simplifying equations and taking breaks to approach problems with a fresh perspective. The conversation highlights the common experience of overcomplicating seemingly simple problems, particularly in academic settings. The solution was recognized as straightforward, demonstrating that sometimes the easiest problems can be the most challenging due to mental blocks.

PREREQUISITES
  • Understanding of exponential functions
  • Familiarity with natural logarithms (ln)
  • Basic algebraic manipulation skills
  • Knowledge of LaTeX for mathematical formatting
NEXT STEPS
  • Study the properties of exponential functions and their applications
  • Learn how to effectively use natural logarithms in equations
  • Practice simplifying complex equations to enhance problem-solving skills
  • Explore techniques for improving focus and reducing mental fatigue during problem-solving
USEFUL FOR

Students, educators, and anyone involved in mathematics or engineering who seeks to improve their problem-solving techniques and understanding of exponential equations.

Tom McCurdy
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I am very tired and am not sure if i am doing this right

[tex]convert into P=Poe^(^k^t^)[/tex]

I came up with
[tex]P=15e^(^l^n^(^1^.^5^)^t^)[/tex]
from
[tex]P=15(1.5)^t[/tex]

haha
nvm i think i got it while I was trying to figure out latex
wow--- the answer was so easy it seemed wrong
 
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ti is always the easy ones that are difficult. I always hate when my Profs gear us up for the super involved stuff an then throw us some softballs... I end up messing them up because I make the problem harder than it really is.
 


It's great that you were able to figure it out! Sometimes, it's helpful to take a break and come back to a problem with a fresh mind. It's also important to double check your work and make sure you're following the correct steps. It's always a good idea to simplify the equation as much as possible to make it easier to solve. Keep up the good work!
 

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