Question

Which list shows the expressions from least to greatest for very large values of x? A. x + 10 , x^10 , 10^x , (1/10)^xB. (1/10)^x , x+10, x^10 , 10^xC. (1/10)^x , 10^x , x+10 , x^10D. x+10 , (1/10)^x , x^10, 10^x

Answer 1

for this we give x a large value, e.g. x = 50 and replace it with, this is:

$\begin{gathered} x+10=50+10=60 \\ x^{10}=50^{10^{}}=9\times10^{16} \\ 10^x=10^{50}=1\times10^{50} \end{gathered}$

the order is

$\begin{gathered} (\frac{1}{10})^x \\ x+10 \\ x^{10} \\ 10^x \end{gathered}$

answer: the second one