SOLUTION: solve the equation: 4^16=2x+7

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Question 318367: solve the equation:
4^16=2x+7

Found 3 solutions by rfer, Alan3354, jim_thompson5910:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x=2147483645

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2x+7 = 4294967296
2x = 4294967287
x = 2147483644.5

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I have a feeling that the equation should be 4%5E%2816%29=2%5E%28x%2B7%29


4%5E%2816%29=2%5E%28x%2B7%29 Start with the given equation.


%282%5E2%29%5E%2816%29=2%5E%28x%2B7%29 Rewrite 4 as 2%5E2


2%5E%282%2A16%29=2%5E%28x%2B7%29 Multiply the exponents.


2%5E32=2%5E%28x%2B7%29 Multiply 2 and 16 to get 32


Since the bases are equal, this means that the exponents are equal. This means that

32=x%2B7


32-7=x Subtract 7 from both sides.


25=x Combine like terms.


So the solution is x=25