MHB How to Solve These Math Equations for x?

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SUMMARY

This discussion focuses on solving various exponential and logarithmic equations for the variable x. The equations include 10^(x) = 105, e^(x) = 100, 3^(2x) = 50, 0.5*e^(-x) = 0.2, ln x^(2) = 6, and 5 ln 3x = 12. Participants provide step-by-step solutions using logarithmic properties and numerical methods. The discussion emphasizes the importance of understanding the relationship between exponential functions and their logarithmic counterparts.

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  • Familiarity with logarithmic properties
  • Basic algebra skills
  • Knowledge of natural logarithms (ln) and their applications
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  • Learn how to solve exponential equations using logarithms
  • Explore numerical methods for solving equations, such as the Newton-Raphson method
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Vi Nguyen
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Solve for x:

10^(x) = 105

e^(x) = 100

3^(2x) = 50

0.5*e^(-x) = 0.2

ln x^(2) = 6

5 ln 3x = 12
 
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Let's start with the first one, $10^x=105$. Where are you having difficulty?
 

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