Simultaneous equations using exponential functions

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Homework Help Overview

The discussion revolves around solving simultaneous equations involving exponential functions, specifically the equations 32x × 23y = 17 and 4x × 5y = 37. Participants are exploring methods to approach the problem using logarithmic properties.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to divide the equations and apply logarithms to isolate variables. Some participants suggest taking the logarithm of both equations as a potential method. There is also a concern raised about discrepancies between calculated answers and those provided in a textbook.

Discussion Status

The discussion is active, with participants sharing suggestions and expressing challenges encountered in their attempts. There is no explicit consensus yet, but the suggestion to use logarithms has been positively acknowledged.

Contextual Notes

Participants note that the original equations were not well formatted, which may contribute to confusion. There is also mention of a textbook answer that does not align with the results obtained through their calculations.

Wardlaw
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Homework Statement



Solve the following equations using simultaneous equations

Homework Equations



32x[tex]\times[/tex]23y=17

4x[tex]\times[/tex]5y=37

Appologies for the bad equation set-up. The large 'x' is a multiplication sign.


The Attempt at a Solution


My attempt was to divide both of the equations together and then solve for x and y respectively, using the laws of logarithms.



 
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What about taking the logarithm of both equations?

ehild
 
Excellent suggestion!
 
ehild said:
What about taking the logarithm of both equations?

ehild

Yes, i tried this. However the answer i get does not match the answer set in the textbook!
 
Show your work.

ehild
 

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