Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Ask your questions and receive precise answers from experienced professionals across different disciplines. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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

#SPJ1