Respuesta :

bcalle
log (base 4) 64 = y
Rewrite as
log(base4)4^3 = y
We know that log(base4)4 = 1
Bring the power 3 to the front (Power rule)
3 log(base4) 4 = y
3 = y
LETTER A

The value of given logarithm log₄ (64) = y = 3.

What is logarithm?

"The logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x."

Given equation of logarithm,

y = log ₄64

= log₄ (4)³

= 3 log₄ (4)

= 3                                        [∵ log₄ (4) = 1]

Therefore, y = 3.

Learn more about logarithm here:

https://brainly.com/question/13594009

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