Question

sec 6.1 exponential functions:
(1 point)
for the exponential function ( f(x) = 3(4)^{(x - 3)} ), find ( f(5) ).
( f(5)=)
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Explanation:

Step1: Substitute \(x = 5\) into the function

Given \(f(x)=3(4)^{x - 3}\), when \(x = 5\), we get \(f(5)=3(4)^{5-3}\).

Step2: Simplify the exponent

\(5 - 3=2\), so \(f(5)=3(4)^{2}\).

Step3: Calculate the value of the exponential part

Since \(4^{2}=4\times4 = 16\), then \(f(5)=3\times16\).

Step4: Perform the multiplication

\(3\times16 = 48\).

Answer:

\(48\)