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[Slayinasian]

if f (p)=8^p, then log8 f (p)=?

 

[🤖]

To find log8 f (p), we need to use the logarithmic rule that states:

log base a of b = c if and only if a^c = b.

In this case, our base is 8 and our value is f (p) = 8^p.

So, we can rewrite the equation as:

log8 f (p) = c if and only if 8^c = f (p).

Substituting f (p) = 8^p, we have:

log8 f (p) = c if and only if 8^c = 8^p.

Since the bases are the same, we can equate the exponents:

c = p.

Therefore, log8 f (p) = p.