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Svetradugi [14.3K]
3 years ago
12

Which points lie on the graph of f(x) = log9x?

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
4 0

Let

y=f(x)

so
y=log9x

we know that

applying property of logarithms

y= log9x is equal to

9^{y}=x ------> equation 1


so


case 1) (-1/81, 2)

x=-1/81

y=2

substitute the value of y in the equation 1 to obtain the value of x

9^{2}=81

81 is not equal to -1/81-------> the point does not belong to the graph


case 2) (0, 1)

x=0

y=1

substitute the value of y in the equation 1 to obtain the value of x

9^{1}=9

9 is not equal to 0-------> the point does not belong to the graph


case 3) (1/9, -1)

x=1/9

y=-1

substitute the value of y in the equation 1 to obtain the value of x

9^{-1}=1/9

1/9 is equal to 1/9-------> the point belongs to the graph


case 4) (3, 243)

x=3

y=243

substitute the value of y in the equation 1 to obtain the value of x

9^{243}

9^{243} is not equal to 3-------> the point does not belong to the graph


case 5) (9, 1)

x=9

y=1

substitute the value of y in the equation 1 to obtain the value of x

9^{1}= 9

9 is equal to 9-------> the point belongs to the graph


case 6) (81, 2)

x=81

y=2

substitute the value of y in the equation 1 to obtain the value of x

9^{2}=81

81 is equal to 81-------> the point belongs to the graph


Andreas93 [3]3 years ago
3 0

Answer:

The other guy is correct but to make it simpler

The answers are:

3, 5, and 6

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