SOLUTION: 2^2x=64

Question 150891: 2^2x=64
Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Rewrite 64 as

Since the bases are equal, the exponents are equal

Set the exponents equal to one another.

Divide both sides by to isolate .

Reduce.

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Answer:

So the answer is
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for x:
Substitute
If the bases (2) are equal, then the exponents are equal.
Divide both sides by 2.
Check:
Substitute x = 3.

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