SOLUTION: 2^2x+3=3^3x Solve for x

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Question 966454: 2^2x+3=3^3x
Solve for x
Found 3 solutions by Alan3354, Edwin McCravy, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
2^2x+3=3^3x
Solve for x

4x + 3 = 27x
3 = 23x
x = 3/23
====================
I did not interpret it wrong, I just entered it.
Making it clear and unambiguous is your responsibility.
We should not have to figure out what you really meant.
That's part of the lesson, making yourself understood.
Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!
The other tutor interpreted it wrong.  You should always enclose 
exponents that consist of more than 1 letter or number in parentheses.




Take logs of both sides:



Ues the "exponent leaps over log" formula 
on both sides



To make it easier to see, 

Let A = log(2) and B = log(3)







Get all the terms in x on one side, and all the non-x terms
on the other.  I'll pick the right side for the x terms:



Factor out x on the right



Divide both sides by (3B-2A)



Now substitute log(2) for A and log(3) for B



x = 1.088973687

Edwin
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!

2^2x+3=3^3x
Solve for x
If ? Then: .

Is it that difficult to present a problem using parentheses? 

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