SOLUTION: If 2^r + 2^r + 2^r + 2^r = 26, what is the value of r?

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Question 226059: If 2^r + 2^r + 2^r + 2^r = 26, what is the value of r?
Found 2 solutions by nerdybill, solver91311:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
2^r + 2^r + 2^r + 2^r = 26
4[2^r} = 26
2^r = 26/4
2^r = 6.5
r = log%282%2C6.5%29
r = log(6.5)/log(2)
r = 2.7

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!












But , so:



which is an exact answer. If you have a capable enough calculator or use Excel you can get the numeric approximation

John