turkey-yks 2012 Q8

turkey-yks · Other · lys1-math Exponential Functions Exponential Equation Solving

Let x be a real number such that
$$( \sqrt { 7 } + \sqrt { 3 } ) ^ { x } = 4$$
Given this, which of the following is the expression $( \sqrt { 7 } - \sqrt { 3 } ) ^ { x }$ equal to?
A) $2 ^ { - x }$
B) $2 ^ { - x + 1 }$
C) $4 ^ { x }$
D) $4 ^ { x - 1 }$
E) $4 ^ { x + 1 }$

Let x be a real number such that

$$( \sqrt { 7 } + \sqrt { 3 } ) ^ { x } = 4$$

Given this, which of the following is the expression $( \sqrt { 7 } - \sqrt { 3 } ) ^ { x }$ equal to?

A) $2 ^ { - x }$\\
B) $2 ^ { - x + 1 }$\\
C) $4 ^ { x }$\\
D) $4 ^ { x - 1 }$\\
E) $4 ^ { x + 1 }$

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