SOLUTION: Find the exact solution: 3^3x-4=5^x

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Question 363175: Find the exact solution:
3^3x-4=5^x
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

I have to assume that you meant:



Since the other (equally valid per your notation) interpretation, namely:



Can only be solved by numerical methods and therefore an exact solution cannot be determined.



Step 1: Take the log of both sides. Natural log or base 10 (or any other base you like), it doesn't matter.



Use



to write:



Multiply both sides by



Add and to both sides:



Factor out an



Multiply both sides by





John

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