Respuesta :

log4 64 = y

log4 (4^3) = y 
3 log4 4 = y ;Note : log4 4 = 1 
Therefore, y = 3

Answer:

y=log4 64=2.6665.

Step-by-step explanation:

We are given that logarithmic expression

y=log 464

By using logarithmic rules

Substitute the decimal point after end digit and then put zero after decimal point

We can write as

y=log464.0

To put the decimal point after one digit from left then we move two steps.Therefore ,we write 2 on left side of the decimal point in final result

Now, we see the value of 46 at 4 from log table then we get the value of 46 at 4 is 6665

Therefore , y=log464=2.6665

Hence, the value of y=2.6665

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