Question

Evaluate the log:
\[log_6 \frac{1}{36}\]

Answer 1

can you try to write 1/36 as the exponent of 6 ?

Answer 2

I can try:
6^(-2)

Answer 3

36 = 6^2
and
\(\large \dfrac{1}{a}=a^{-1}\)

Answer 4

YES! thats correct :)

Answer 5

Ok but what does it mean by evaluate?
Do I write:
\[log_6 \frac{1}{36}=-2\]

Answer 6

so,
\(\large \log_6 6^{-2 } = (-2) \log_66\)
because of the property
\(\large \log m^n = n \log m\)

Answer 7

yes, -2 is correct!

Answer 8

evaluate means to find the value

Answer 9

Ok thank you :)

Answer 10

welcome ^_^