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hichkok12 [17]
3 years ago
8

Please assist me with these problems.​

Mathematics
1 answer:
timurjin [86]3 years ago
6 0

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.

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