Respuesta :

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If you would like to find a function which is equivalent to f(x) = 3(1.7)4x, you can do this using the following steps:

f(x) = 3(1.7)4x = 3(1.7)^(4x) = 3(1.7^4)^x = 3(8.35)^x = 3(8.35)x

The correct result would be B f(x) = 3(8.35)x.

Answer:

Option B-  [tex]f(x)=3(8.35^x)[/tex]

Step-by-step explanation:

Given function:  [tex]f(x)=3(1.7)^{4x}[/tex]

Simplifying the function :

Step 1: Write the expression

 [tex]f(x)=3(1.7)^{4x}[/tex]  

Step 2: Apply exponent rule ( [tex]a^{mn}=(a^m)^n[/tex] )

[tex]f(x)=3(1.7^4)^x[/tex]

Step 3: Solve

[tex]f(x)=3(8.35^x)[/tex]

Therefore, Option B is correct [tex]f(x)=3(8.35^x)[/tex]