Find the value of y. log 4 64 = y A. 3 B. 4 C. 8 D. 16

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asked Apr 14, 2021 126k views

1 vote

Find the value of y. log 4 64 = y A. 3 B. 4 C. 8 D. 16

Mathematics
college

Sachinruk asked

by Sachinruk

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1 Answer

3 votes

Answer:

A. 3

Explanation:

$log_(4)(64) = y \\ 64 = {4}^(y)(\because if \: log_a b = x \implies b = a^x) \\ {4}^(3) = {4}^(y) \\3 = y..(equal \: bases \: have \: equal \: exponents ) \\ \huge \purple { \boxed{y = 3}}$

Ozan Taskiran answered Apr 20, 2021

by Ozan Taskiran

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