Solve 2 = $open parentheses 4 to the power of 1 third end exponent close parentheses open parentheses 2 to the power of x over 3 end exponent close parentheses$

for any function f(x) =a^x (if a>1) the range of f(x) is (0,infinity)
therefore for f(x)=k.a^x the range would be (0*k,infinity*k) that is (0,infinity)

The $open parentheses 1 fourth close parentheses to the power of t h end exponent$ power of 2401 is ___________.

The total weight of a carton box is $7 to the power of straight x over straight s end exponent$ and the weight of each box of chocolates is $7 to the power of x over 18 end exponent$ . Find the value of x if the carton box is filled with 49 boxes.

a^x/a^y =a^x-y (if base are same then power are subtracted in exponential division)

The total weight of a carton box is $7 to the power of straight x over straight s end exponent$ and the weight of each box of chocolates is $7 to the power of x over 18 end exponent$ . Find the value of x if the carton box is filled with 49 boxes.

a^x/a^y =a^x-y (if base are same then power are subtracted in exponential division)

Find the value of x if $4 to the power of 3 x minus 7 end exponent equals 16 to the power of x plus 3 end exponent$ .

Ratios of y-values

.

$6 over 3 equals 2$

$12 over 6 equals 2$

$24 over 12 equals 2$

$98 over 24 equals 2$

$96 over 48 equals 2$

Find the value of x if f(x)=g(x) when f(x) = initial value of 100 decreases at a rate of 5% and g(x) = initial value of 20 increases at a rate of 5%.

Observe the table and answer the following:

x y

1 3

2 6

3 12

4 24

5 48

6 96

The constant ratio of the function represented by the data given is _______.

Observe the table and answer the following:

x y

1 3

2 6

3 12

4 24

5 48

6 96

The initial value of the data represented by the table is ______.

The exponential function f(x) = 4.(1 + 5)^x

Write an exponential function if the cost of a pen increases from $5 at a rate of 2%.

Write an exponential decay function for the initial value of 467, decreasing at a rate of 35%.

The initial amount of the exponential decay function f(x) = 3.7^x is _________.

y= a(1 - r)^x

a=initial amount
y=final amount
r=decay rate

The initial amount of the exponential decay function f(x) = 3.7^x is _________.

y= a(1 - r)^x

a=initial amount
y=final amount
r=decay rate

An application of the exponential growth is ____________.

formula for compound interest is
A=P(1+r/100)ⁿ
A=amount
p=principal
r=rate of interest
n=number of years

An application of the exponential growth is ____________.