Question

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

Answer 1

Answer:

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

$\frac{log1}{log\frac{3}{8}} = x$ or -1,1=x

Step-by-step 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. $3=3(\frac{3}{8})^x\\1=(\frac{3}{8})^x\\log 1 = log \frac{3}{8}^x\\\frac{log1}{log\frac{3}{8}} = x$

• 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. $3=3(x^2)\\1=x^2\\1,-1=x$