Answer:
log₈(16) = 1.3333
Step-by-step explanation:
Data to be solved:
log₈(16)
Now,
we have the properties of log function as:
1 ) logₓ(y) = [tex]\frac{\log(y)}{\log(x)}[/tex]
and,
2) log(aᵇ) = b × log(a)
using the property (1), we get
log₈(16) = [tex]\frac{\log(16)}{\log(8)}[/tex]
or
= [tex]\frac{\log(2^4)}{\log(2^3)}[/tex]
Now, using the property 2, we get
= [tex]\frac{4\log(2)}{3\log(2)}[/tex]
or
= [tex]\frac{4)}{3}[/tex]
= 1.3333
