The exponential function modeled by the following table?
x f(x)
2 9
3 27
4 81
a: f(x) = x3
b: f(x) = 3x
c: f(x) = x2 + 5
d: f(x) = 2x + 5

Step-by-step explanation:

From the table;

When x=2,

When x=3,

When x=4,

We can infer from the pattern that;

73.0769230769% of the games were won

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752