Question

What logarithmic function represents the data in the table?

x f(x)
216 3
1296 4
7776 5
(2 points)


f(x) = logx 5
f(x) = 6 log x
f(x) = log 6x
f(x) = log6 x

Answer 1

@zepdrix

Answer 2

go back to the definition.

what is a log?

well, it is the value you get when you express a number to a certain power. The easy way to recomember is:

log to the base 10 of 100 is 2, because 10^2 = 100

now, what number exists such that:

x^3 = 216
x^4 = 1296
x^5 = 7776

and will fit that pattern?

well, 6^3 = 216
and, 10^2 = 100

just replay the words.

The nice thing about mathematics is that athe process does not change just because the numbers do.