Question

Which is the logarithmic equation log8 64 = a, written in exponential form?

Answer 1

Explanation:

log8 64 = a

cut log and base^a

64 = 8^a

8^a = 64

or a = 2

Answer 2

`8^a = 64`, which gives
`a=2`.

Explanation:

When you see
`\log_8(64)=a`, think:
`a` is the number such that
`8^a = 64`. Mathematical intuition gives us that
`a=2` immediately, but we can also work this out more methodologically:

`8^a = 64\\(2^3)^a = 2^6\\2^(3a) = 2^6\\3a = 6\\a = 2`

And this solution suffices.