Question of the Day

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6/1

Sep
30
2012
349,677 responses
Question of the Day Statistics
Number Answered
Correct 189,790
Incorrect 159,887
54% correct

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

If 2^a = 4^b, which of the following expresses a in terms of b?

Answer Choices

Hint

Since 4 = 2^2, the expression 4^b can be written as (2^2)^b.

Question of the Day

Can you answer today's question?

Register Next Tests:
6/1

Sep
30
2012
349,677 responses
Question of the Day Statistics
Number Answered
Correct 189,790
Incorrect 159,887
54% correct

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

If 2^a = 4^b, which of the following expresses a in terms of b?

Answer Choices

Answer

Choice (C) is correct. Since 4 = 2^2, it follows that 4^b = (2^2)^b = 2^(2 times b). Therefore, 2^a = 4^b = 2^(2 times b), from which it follows that a = 2 times b.