SOLUTION: 1. Find x; if 3^2x+5=3^2x+3+72 2.Evaluate (³√xy²÷x²y) for x= 27 and y=64 3. Find x; if 5^x-2×3

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Question 1082417: 1. Find x; if 3^2x+5=3^2x+3+72
2.Evaluate (³√xy²÷x²y) for x= 27 and y=64
3. Find x; if 5^x-2×3
Answer by ikleyn(52810)   (Show Source): You can put this solution on YOUR website!
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1. Find x; if 3^2x+5=3^2x+3+72
~~~~~~~~~~~~~~~~~~

I applied all the power of my mind and guessed, finally, that it means
3^(2x+5) = 3^(2x+3) + 72.

NEXT TIME PLEASE USE PARENTHESES when post formulas to this site.
It is MANDATORY, otherwise your formulas are UNREADABLE ! 

 =  

Introduce new variable y = .
Then your equation takes the form

9y = y + 72  --->  

8y = 72 ---

y =  = 9  --->

 = 9  --->  2x+3 = 2  --->  2x = -1  ---> x = .


Answer.  x = .



2.  Regarding your #2, I simply can not read your writing.


3.  Find x; if 5^x-2×3       It is nonsence. I hope you do understand it.


There is THE RULE in this forum:

One problem per post and one question per post.


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