Question

Please assist me with these problems.
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Answer 1

Answer:

c for the question that says what point is on $y=\log_a(x)$ given the options.

9  for the question that reads: "If $\log_a(9)=4$, what is the value of $a^4$.

Step-by-step explanation:

We are given $y=\log_a(x)$.

There are some domain restrictions:

$a \text {is number between } 0 \text{ and } 1 \text{ or greater than } 1$

$x \ge 0$

a) couldn't be it because x=0 in the ordered pair.

b) isn't is either for the same reason.

c) \log_a(1)=0 \text{ because } a^0=1[/tex]

So c is so far it! Since (x,y)=(1,0) gives us $0=\log_a(1)$ where the equivalent exponential form is as I mentioned it two lines ago.

d) Let's plug in the point and see: (x,y)=(a,0) implies $0=\log_a(a)$.

The equivalent exponetial form is $a^0=a$ which is not true because $a^0=1 (\neq a)$.

If $\log_a(9)=4$. then it's equivalent exponential form is: $a^4=9$.

Guess what it asked for the value of $a^4$ and we already found that by writing your equation $\log_a(9)=4$ in exponential form.

Note:

The equivalent exponential form of $\log_a(x)=y$ implies $a^y=x$.