Helppp

"Find the dervative of y with respect to the given independent variable y=log2 ( 8t^ln2 )"

 

Using the properties of logarithms:

y = log₂(8) + log₂(t^ln2)

 

y =  log₂(8) + ln(2)*log₂(t)

 

y = log₂(8) + ln(2)*ln(t)/ln(2)

 

y = log₂(8) + ln(t)

 

Now differentiate y wrt t:

dy/dt = 1/t