Question

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

Answer 1

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

$\frac{a^x}{a^y}=a^{x-y}$

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

$\begin{gathered} 5=a^x \\ \\ \frac{5}{a}=\frac{a^x}{a}=a^{x-1} \end{gathered}$

So the correct answer is B.