- 4^c 8 = 3 4 7 If, what is the value of c?
Correct answer: 24 (parsed from the explanation — this source omits an answer key for this item)
Explanation
7 The correct answer is 24. An expression of the form n a m , where m and n are $ m integers greater than 1 and a 0, is equivalent to an. Therefore, the expression on the right-hand side of the given equation, 3 47 , is equivalent to 43 7 . Thus, 48 c=43 7 . 8 = 7 = 7 It follows that c 3. Dividing both sides of this equation by 8 yields c 24. Note that 7/24, .2916, .2917, 0.219, and 0.292 are examples of ways to enter a correct answer.
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