Question

Write as an exponential function and solve for the variable.

4^x = 16
a) x = 2
b) x = 1
c) x = 3
d) x = 4

Answer 1

To write the equation 4^x = 16 as an exponential function, substitute 16 with 4^2 and set the exponents equal to each other. The solution is x = 2.

Step-by-step explanation:

To write the equation 4^x = 16 as an exponential function, we need to express 16 as a power of 4. Since 4^2 = 16, we can substitute 16 with 4^2 in the equation:

4^x = 4^2

Since the bases are equal, we can set the exponents equal to each other:

x = 2

So the solution is x = 2.