SOLUTION: how to solve (4/3)^1-x =5^x

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Question 376396: how to solve (4/3)^1-x =5^x
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I presume you mean:



Next time use parentheses appropriately, that is: (4/3)^(1 - x) = 5^x would have made your meaning clear.

Take the log of both sides. Whether you use natural logs or base 10 logs (or indeed any other base) doesn't matter. I use , just because it tickles my fancy to do so.



Use



to write



Use ordinary algebra to write:



Use



To write:



Use ordinary algebra to write:









Use your calculator to find the numeric approximation and to check your answer.

John

My calculator said it, I believe it, that settles it
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