Question if-4-2
2.2 Nonlinear Equations in One Variable - Exponential equations with equal bases
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If , what is the value of ?
A.
B.
C.
D.
If 4 2 x = 16 , what is the value of 6 x ?
Hard-difficulty · SAT Math · Nonlinear Equations in One Variable — Exponential equations with equal bases. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. Dividing each side of the given equation by yields . Squaring both sides of this equation yields . Multiplying each side of this equation by yields . Therefore, the value of is .
Choice A is incorrect. This is the value of , not .
Choice C is incorrect. This is the value of , not .
Choice D is incorrect. This is the value of , not .
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