Question

Which of the following is a function equivalent to f(x) = 5(1.9)3x?

A. f(x) = 34.29x
B. f(x) = 5(6.86x)
C. f(x) = 5(6.86)x
D. f(x) = 328.51x

Answer 1

B. f(x)=5(6.86x) this the correct anwser

Answer 2

Answer:

The correct option is C.

Step-by-step explanation:

The given function is

$f(x)=5(1.9)^{3x}$

Using the properties of exponent.

$f(x)=5((1.9)^3)^{x}$                                  $[\because (x^m)^n=x^{mn}]$

$f(x)=5(6.859)^{x}$                  $[\because (1.9)^3=6.859]$

$f(x)=5(6.86)^{x}$

The function $f(x)=5(6.86)^{x}$  is equivalent to the given function.

Therefore the correct option is C.