Determine whether the given is an exponential function, an exponential equation, an exponential identity, or none of these.

1. f(x) = 2x

2. f(x) = 2

3. y = e

4. 2 (5^(x+1)) = 500

5. 625 5^(x+8)

Solve for x

1. 16^(2x-3) = 4^(x+2)

2. (1/2)^2x = 2^(3-x)

Hint: Write 1/2as 2^(-1)

3. 4^(2x+7) 32^(2x-3)

4. (2/5)^(5x-1) 25/4

Hint: Write 25/4 as (2/5)^2

Solve for x then check your answer.

1. 7^(x+4)= 49^(2x-1)

2. 4^(x+2)= 8^2x

3. (2/3)^(5x+2)=(3/2)^2x

4. 3^3 27^(x+2)>9

5. 4^(x+3)<8^(x+1)