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1. If 5=a^x, then 5/a =(A) a^(x+1)(B) a^(x-1)(C) a^(1-x)(D) a*x/5

1. If 5=a^x, then 5/a =(A) a^(x+1)(B) a^(x-1)(C) a^(1-x)(D) a*x/5-example-1

1 Answer

3 votes

In order to calculate the value of 5/a, we need to use the following property of exponentials:


(a^x)/(a^y)=a^(x-y)

Now, calculating the value of 5/a, we have that:


\begin{gathered} 5=a^x \\ \\ (5)/(a)=(a^x)/(a)=a^(x-1) \end{gathered}

So the correct answer is B.

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