Help with natural log in this equation

Click For Summary
SUMMARY

The discussion focuses on solving the equation 1.2E-21 = (1.6E-19)(0.35967)ln(x/0.175) for the variable x. Participants suggest using algebraic manipulation to isolate the natural logarithm term and then applying the exponential function to solve for x. The TI-84 calculator is mentioned as a tool for numerical solutions, but manual calculations are encouraged for a deeper understanding of the logarithmic properties involved.

PREREQUISITES
  • Understanding of natural logarithms and their properties
  • Familiarity with algebraic manipulation techniques
  • Basic knowledge of scientific notation
  • Experience using graphing calculators, specifically the TI-84
NEXT STEPS
  • Study the properties of natural logarithms and their applications in equations
  • Practice algebraic manipulation to isolate variables in logarithmic equations
  • Learn how to use the TI-84 calculator for solving logarithmic equations
  • Explore numerical methods for solving equations that cannot be easily solved analytically
USEFUL FOR

Students in mathematics, educators teaching logarithmic functions, and anyone needing to solve complex equations involving natural logarithms.

bmed90
Messages
99
Reaction score
0


So I am not quite sure how to solve for x here.


1.2E-21=(.3567)(ln(x/.175))
 
Physics news on Phys.org
Btw I tried to stick it in my solver for my ti-84 cause I don't know how to solve for x by hand here...=\
 
Actually, the eq is 1.2E-21=(1.6E-19)(.35967)ln(x/.175)
 

Similar threads

Log-log graph of resistance against temperature for a carbon resistor
  • · Replies 12 ·
Replies
12
Views
2K
Slope of N - t graph of radioactive decay
  • · Replies 2 ·
Replies
2
Views
994
Time for a capacitor to discharge
  • · Replies 6 ·
Replies
6
Views
2K
High School Can a log have multiple bases?
  • · Replies 44 ·
2
Replies
44
Views
5K
Dampening force - find decrease in amplitude
  • · Replies 1 ·
Replies
1
Views
1K
Solving for Distance, Velocity and Acceleration
  • · Replies 3 ·
Replies
3
Views
2K
Finding Proportional Relationships using Log-Log Graphs
  • · Replies 3 ·
Replies
3
Views
3K
Muon Decay: Homework Statement & Solution
  • · Replies 2 ·
Replies
2
Views
1K
Rearranging x=x0e^-lambda t in the form y=mx+c
  • · Replies 3 ·
Replies
3
Views
2K
Yes, the derivative of log(x) is 1/x.
  • · Replies 1 ·
Replies
1
Views
1K