Question

find the equivalent function for f(x)=6(2)3xthe 3x is supposed to be an exponent pls help

Answer 1

Answer:

An equivalent function to the given function is;

$f(x)=6(8)^x$

Explanation:

Given the function;

$f(x)=6(2)^{3x}$

we want to find an equivalent function to the given function;

Applying the rules of exponent;

$\begin{gathered} f(x)=6(2)^{3x}=6(2^3)^x \\ =6(2\times2\times2)^x \\ =6(8)^x \end{gathered}$

Therefore, An equivalent function to the given function is;

$f(x)=6(8)^x$