Problem
Given the functions $f(x)=3 x^{5}$ and $g(x)=7 \cdot 4^{x}$, which of the following statements is true?
$f(5)>g(5)$
$f(5)
Solution
Step 1 ：Given the functions \(f(x)=3 x^{5}\) and \(g(x)=7 \cdot 4^{x}\), we need to calculate the values of f(5) and g(5) and then compare them to determine which statement is true.
Step 2 ：Calculate \(f(5) = 3 \cdot 5^{5} = 9375\)
Step 3 ：Calculate \(g(5) = 7 \cdot 4^{5} = 7168\)
Step 4 ：Compare the two values: \(9375 > 7168\)
Step 5 ：\(\boxed{f(5)>g(5)}\) is the final answer.
From Solvely APP
Solution
Step 1 ：Given the functions \(f(x)=3 x^{5}\) and \(g(x)=7 \cdot 4^{x}\), we need to calculate the values of f(5) and g(5) and then compare them to determine which statement is true.
Step 2 ：Calculate \(f(5) = 3 \cdot 5^{5} = 9375\)
Step 3 ：Calculate \(g(5) = 7 \cdot 4^{5} = 7168\)
Step 4 ：Compare the two values: \(9375 > 7168\)
Step 5 ：\(\boxed{f(5)>g(5)}\) is the final answer.
