SOLUTION: Please help me solve this question - I've been trying to set the bases equal. I know that the answer is x=3, but I can't quite get there with showing my work. 2*(2^2x)=(4^x)+64

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Question 1074918: Please help me solve this question - I've been trying to set the bases equal. I know that the answer is x=3, but I can't quite get there with showing my work.
2*(2^2x)=(4^x)+64
Thank you
Found 3 solutions by ikleyn, Fombitz, MathTherapy:
Answer by ikleyn(52855)   (Show Source): You can put this solution on YOUR website!
.
HINT: = .


Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

So,

Take it from there.
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Please help me solve this question - I've been trying to set the bases equal. I know that the answer is x=3, but I can't quite get there with showing my work.
2*(2^2x)=(4^x)+64
Thank you


 ------ Subtracting  from each side









2x = 6 ------- Bases are equal and so are their exponents

 

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