Answered

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

Sagot :

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

[tex]log_{4}64=y[/tex]

By applying one of the laws of logarithm, we get

[tex]64 = 4^{y}[/tex]

Now, express 64 in index form,

[tex]4^{3} = 4^{y}[/tex]

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: https://brainly.com/question/237323

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