Simple math im not understanding

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Homework Help Overview

The discussion revolves around a mathematical problem involving exponential equations and logarithmic functions. Participants are attempting to understand the steps leading to a specific solution for a given equation.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants share their solutions and express confusion about the mathematical operations involved, particularly in manipulating the equation and applying logarithms. There are questions about the correctness of their calculations and the interpretation of the steps.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the mathematical operations and expressing differing results. Some guidance on the steps has been offered, but there is no consensus on the correct approach or final answer.

Contextual Notes

Participants are grappling with potential discrepancies in their calculations and the application of logarithmic properties. There is a mention of specific numerical values and operations that may be causing confusion.

qwerty11
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Heres the solution I have:

220*10^-3=(6/4.9)(1-e^((-t*4.9)/(140*10^-3))
e^(-4.9t/(140*10^-3))=08203
t=5.658

Could somebody expand this more for me please so I can see the mathematical operations to get to this solution?
 
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qwerty11 said:
Heres the solution I have:

220*10^-3=(6/4.9)(1-e^((-t*4.9)/(140*10^-3))

Divide both sides by 6/4.9

qwerty11 said:
e^(-4.9t/(140*10^-3))=0.8203

take ln of both sides of the equation
 
rock.freak667 said:
Divide both sides by 6/4.9



take ln of both sides of the equation

When I divide 220*10^-3 I don't get the same answer.
 
I got t=0.00566
 
Shouldn't it be 220*10^-3/(6/4.9)=x
lnx=lne^...
lne^/lnx
=ans??
 
What is ln(ey)?
 

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