Each of the following functions can be written as b kx where

Each of the following functions can be written as b kx, where b is equal to 2, 3, or 5 and k is some number.
Enter the appropriate values of b and k in each case.

1). f(x)=(2^(2x))/(2^(4x))
b=2 k=?
2). f(x)=sqrt(125^(4x))
b=5 k=?
3). f(x)=81^(2x) * 27^(-6x)
b=3 k=?

Solution

1) f(x) = 2^-2x
b = 2 k = -2

2) f(x) = 56x

b = 5 k = 6

3) f(x) = 3^8x * 3^-18x

= 3-10x

k = -10

Each of the following functions can be written as b kx, where b is equal to 2, 3, or 5 and k is some number. Enter the appropriate values of b and k in each cas

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