An equivalent form of the given function is f(x)=4⋅(6x )^2.
To determine the equivalent form of the function f(x)=4⋅36^x , you can use
the properties of exponents and rewrite it in a different but equivalent form.
Let me break it down for you:
The function is f(x)=4⋅36^x .
Now, you can express 36 as a power of a base, such as 6, since
6^2 =36.
f(x)=4⋅(6^2 )^x
Use the exponent rule
(a^b )^c =a^b⋅c:
f(x)=4⋅6^2x
Now, you can rewrite this as a product of two terms:
f(x)=4⋅(6x )^2
So, an equivalent form of the given function is f(x)=4⋅(6x )^2.