Question

What is the value of y? log^464 = y OA. 16 OB. 8 OC. 3 OD. 4

Answer 1

The value of y in the given logarithmic equation is 3. The correct option is C. 3

Evaluating Logarithmic equation

From the question, we are to determine the value of y in the given logarithmic equation

The given equation is

$log_{4}64=y$

By applying one of the laws of logarithm, we get

$64 = 4^{y}$

Now, express 64 in index form,

$4^{3} = 4^{y}$

Since the bases are equal, we can equal the powers to get

3 = y

∴ y = 3

Hence, the value of y in the given logarithmic equation is 3. The correct option is C. 3

Learn more on Logarithmic equations here: brainly.com/question/237323

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