Which of these functions has a larger base? Function 1 is represented by the following equation: f(x)=2^x

Function 2 is represented by the following points: (1,4),(2,16),(3,64),(4,256),(5,1024 )

Hint: in the function 2^x, the base is 2

A. Function 1 has the largest base
B. Function 2 has the largest base
C. The functions have the same base
D. It is impossible to compare the base of the two functions

answ5

step-by-step explanation:

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take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: