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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.

PLEASEE HELP ME ITS JUST ONE PROBLEM PLEASE HELPPPP lt3lt3 If no transformations have been applied to fx what is the base of fxEnter your answer as the correct class=

Respuesta :

ChefTopeau

We can see that the function passes through the point [tex](2,-1)[/tex]. This implies that

[tex]\log_b(2)=-1[/tex]

or, equivalently,

[tex]b^{-1}=2 \iff \dfrac{1}{b}=2 \iff b=\dfrac{1}{2}[/tex]

The same conclusion could have been reached by observing that the function passes through [tex]\left(\frac{1}{2},1\right)[/tex]

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