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2 years ago

Find the base of y = b^x that contains the point (3/2, 27)

Mathematics

1 answer:

Leona [35]2 years ago

8 0

Answer:

D) b = 9

Step-by-step explanation:

Given function:

y = b^x

The graph of it should contain the point (3/2, 27)

Substitute the values and verify answer choices:

A) b= 3/2

27 = (3/2)^(3/2), False as the right side is irrational

B) b= 27

27 = 27^(3/2), False as 27^1 ≠ 27^(3/2), because 1 ≠ 3/2

C) b= x/y

27 = (x/y)^(3/2), False as is doesn't make sense

D) b= 9

27 = 9^(3/2)
27 = (3^2)^(3/2)
27 = 3^(2*3/2)
27 = 3^3
27 = 27

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Answer:

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Step-by-step explanation:

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3 years ago

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formula

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