Answered

What logarithmic function represents the data in the table?


x f(x)

216 3

1296 4

7776 5


Choices:


f(x)=logx5


f(x)=6logx


f(x)=log6^x


f(x)=log6x

Verified Answer :

nobillionaireNobley

216 =6^3
1,296 = 6^4
7,776 = 6^5
x = 6^f(x)
log x = log 6^f(x) = f(x)log 6
f(x) = log x / log 6 = \(log_6x\)

meerkat18

The correct answer among the choices provided is the fourth option. The logarithmic function f(x)=log(base 6)x represents the data in the table. Log is the value that one can get to express a number to a certain power. It is solved through finding the pattern using the given values, 
6^3 = 216 
6^4 = 1296 
6^5 = 7776

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