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Im so confused pls help

Im so confused pls help-example-1
User Sher Mi
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1 Answer

10 votes

Answer:

(d) f(x) = log₆(x)

Explanation:

If we use y in place of f(x), we see that ...

x = 6^y

Taking logs of both sides, we get ...

log(x) = y·log(6)

y = log(x)/log(6)

y = log₆(x) . . . . . . . using the change of base formula

f(x) = log₆(x)

_____

Or you can get there more directly using the relation between logs and exponentials:


\displaystyle a = b^c\ \leftrightarrow\ c=\log_b(a)

User Ptrk
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