Answer:
The equivalent function is \(f(x)=50(1.7959)^{x}\)
Step-by-step explanation:
We have been given the function \(f(x)=50(1.05)^{12x}\)
and we have to find an equivalent function. In order to find the same first of all we can use the below exponent property.
\(x^{ab} = (x^{a})^b\)
Using the above property the given function will become,
\(f(x)=50(1.05)^{12x}=50((1.05)^{12})^x\)
Now \((1.05)^{12}=1.7959\)
So, the equivalent function is \(f(x)=50(1.7959)^{x}\)
Thus, Option (1) is correct.
