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Nonlinear functions SAT question

Math · Advanced Math · Hard · Answer it here, explanation included.

For the exponential function , the value of  is , where is a constant. Which of the following equivalent forms of the function shows the value of as the coefficient or the base?

ExplanationShow

Choice C is correct. For the form of the function in choice C, , the value of can be found as , which is equivalent to , or . Therefore, , which is shown in as the coefficient.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

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