strawberrykid2004
Answered

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

Sagot :

Annder

Step-by-step explanation:

log8 64 = a

cut log and base^a

64 = 8^a

8^a = 64

or a = 2

LanceLongFei

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.

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