Question

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Answer 1

does it help you to know that 6^3=216 and 6^4=1296 and 6^5=7776?

Answer 2

Do you know that the log is the exponent?

Answer 3

What is the base in this problem?

Answer 4

6^3=216
6^4=1296
6^5=7776
What is the base?

Answer 5

In this expression: 6^3=216
the base is 6 and the exponent is 3

Answer 6

No. The base is 6 because that's the way we define expressions with exponents:

10^4: the base is 10, the exponent is 4
5^7: the base is 5, the exponent is 7

Answer 7

So in your problem, by definition, the base is 6 and the exponent varies, depending on which ordered pair you select. But clearly the y values are exponents. In other words, the y values are logs beause lobs are exponents.

Answer 8

So we can say y = log
because the y values are exponents

Answer 9

And as we have discussed, the base is 6
So:
y=log_6(x)