Answer:
An equivalent function to the given function is;
![f(x)=6(8)^x](https://img.qammunity.org/2023/formulas/mathematics/high-school/bxex9rip4vmhbe13k90sp7hqjibgwmk4dr.png)
Step-by-step explanation:
Given the function;
![f(x)=6(2)^(3x)](https://img.qammunity.org/2023/formulas/mathematics/high-school/gw8p0jve9lzff0hz3yi21k9gngh8pb8i6x.png)
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*2*2)^x \\ =6(8)^x \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/vvipiohbox8dx4urpx9uxc2tk00biv57qc.png)
Therefore, An equivalent function to the given function is;
![f(x)=6(8)^x](https://img.qammunity.org/2023/formulas/mathematics/high-school/bxex9rip4vmhbe13k90sp7hqjibgwmk4dr.png)