Simultaneous equations using exponential functions

AI Thread Summary
The discussion focuses on solving simultaneous equations involving exponential functions. The equations presented are 32x × 23y = 17 and 4x × 5y = 37. A participant suggests using logarithms to simplify the equations for solving x and y. Despite attempting this method, the participant finds that their answers do not align with those provided in the textbook. The conversation emphasizes the importance of showing work when discrepancies arise in solutions.
Wardlaw
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Homework Statement



Solve the following equations using simultaneous equations

Homework Equations



32x\times23y=17

4x\times5y=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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