How Do You Find the Point of Intersection for These Equations?

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Homework Help Overview

The discussion revolves around finding the point of intersection for two equations involving exponential terms. Participants are examining the setup and manipulation of these equations to facilitate solving for the intersection.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss equating the two equations and express uncertainty about the next steps after simplifying. There are questions regarding the clarity of the equations due to formatting issues, particularly concerning the use of parentheses and exponents.

Discussion Status

Some participants have provided hints and suggestions for clarifying the equations, indicating a collaborative effort to refine the problem setup. Multiple interpretations of the equations are being explored, and there is a focus on ensuring proper notation for exponents.

Contextual Notes

There are indications of formatting challenges with the equations, which may affect understanding. Participants are also considering the implications of simplifying expressions and using consistent bases in their equations.

darrenc
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Homework Statement



Find the point of intersection



Homework Equations



Equation 1

y=1/5(2)4x-7

Equation 2

y=1/10(1/2)9-3x


The Attempt at a Solution




Made them equal each other got rid of the 1/5 one one side and it made the 1/10 turn into 1/2 and now i don't know what to do so I got

(2)4X-7 = 1/2(1/2)9-3X
 
Last edited:
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darrenc said:

Homework Statement



Find the point of intersection



Homework Equations



Equation 1

y=1/5(2)^4x-7

Equation 2

y=1/10(1/2)^9-3x


The Attempt at a Solution




Made them equal each other got rid of the 1/5 one one side and it made the 1/10 turn into 1/2 and now i don't know what to do so I got

(2)^4X-7 = 1/2(1/2)^9-3X
I think you need more parentheses! Is this 24x - 7 = (1/2)(1/2)9 - 3x?

If you don't know how to use superscripts for exponents, at least put parentheses around exponents with multiple terms.
 
Mark44 said:
I think you need more parentheses! Is this 24x - 7 = (1/2)(1/2)9 - 3x?

If you don't know how to use superscripts for exponents, at least put parentheses around exponents with multiple terms.

happy now?
 
Am I happy that you can quote what I did? Not so much that I'm doing cartwheels or anything.

Can you simplify a*ab?

Also, 2x = (1/2)-x.

These hints should help you write your equation so both sides use the same base.
 

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