Answer:
[tex]8^a = 64[/tex], which gives [tex]a=2[/tex].
Step-by-step explanation:
When you see [tex]\log_8(64)=a[/tex], think: [tex]a[/tex] is the number such that [tex]8^a = 64[/tex]. Mathematical intuition gives us that [tex]a=2[/tex] immediately, but we can also work this out more methodologically:
[tex]8^a = 64\\(2^3)^a = 2^6\\2^{3a} = 2^6\\3a = 6\\a = 2[/tex]
And this solution suffices.
