Question

What is the base of the exponetim the function f(x)=3(3/8)^2 when the function f(x)=3

Answer 1

Depending on what the equation is (see below for options) answers are:

`(log1)/(log(3)/(8)) = x` or -1,1=x

Explanation:

Two possibilities are present:

• The base of an exponential function is the number raised to an exponent of x.
  `f(x) = 3(3/8)^x`. The base here is 3/8. To find when f(x) = 3, then substitute and solve.
  `3=3((3)/(8))^x\\1=((3)/(8))^x\\log 1 = log (3)/(8)^x\\(log1)/(log(3)/(8)) = x`

• If this is a quadratic function then it has a base of x.
  `f(x) = 3(x)^2`. To find when f(x) = 3 then substitute and solve.
  `3=3(x^2)\\1=x^2\\1,-1=x`