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If (2n)/5=10, what is the value of 2n − ...

If `(2n)/5=10`, what is the value of 2n − 1 ?

A

24

B

49

C

50

D

99

Text Solution

Verified by Experts

The correct Answer is:
B
Multiplying both sides of the given equation by 5 yields 2n = 50. Substituting 50 for 2n in the expression 2n − 1 yields 50 − 1 = 49.
Alternate approach: Dividing both sides of 2n = 50 by 2 yields n = 25. Evaluating the expression 2n − 1 for n = 25 yields 2(25) − 1 = 49.
Choice A is incorrect and may result from finding the value of n − 1 instead of 2n − 1. Choice C is incorrect and may result from finding the value of 2n instead of 2n − 1. Choice D is incorrect and may result from finding the value of 4n − 1 instead of 2n − 1.
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