Question

PLEASEE HELP ME, ITS JUST ONE PROBLEM, PLEASE HELPPPP <3<3 !!!

If no transformations have been applied to f(x), what is the base of f(x)?


Enter your answer as the correct value, using the / symbol to indicate a fraction, if necessary.

Answer 1

We can see that the function passes through the point
`(2,-1)`. This implies that

`\log_b(2)=-1`

or, equivalently,

`b^(-1)=2 \iff (1)/(b)=2 \iff b=(1)/(2)`

The same conclusion could have been reached by observing that the function passes through
`\left((1)/(2),1\right)`