The exponential function is given as 3.68 × (2.52)ˣ. Then the value of function at x = 6 will be 942.43.
The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
If f(x) is an exponential function where f(2) = 23 and f(3) = 58.
Then the exponential function will be
f(x) = abˣ
If f(2) = 23, then we have
23 = ab² ...1
If f(3) = 58, then we have
58 = ab³ ...2
Then from equations 1 and 2, we have
a = 3.62 and b = 2.52
Then the function will be
f(x) = 3.68 × (2.52)ˣ
Then the value of f(6) will be
f(6) = 3.68 × (2.52)⁶
f(6) = 3.68 × 256.1
f(6) = 942.43
More about the exponent link is given below.
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