Question

Which function is greater at the given value?

y = 5^x or y = x^5 at x = 2.

x^5
5^x

Could someone explain this to me so I better understand it?

Answer 1

Substitute x = 2 into each function, and calculate both of them.

The first function: \[y = 5^x = 5^2 = 5 \times 5 = 25\]

The second function: \[ y = x^5 = 2^5 = 2 \times 2 \times 2\times 2 \times 2 = 32\]

So the second function is greater at given value of "x = 2".

Answer 2

Thankyou so much im writing down notes on everything so I can learn a little bit better and get the hang of it :)