Question

Evaluate the log without a calculator ( Show your work )


`log_(3) (1)/(9)`

Answer 1

-2

Explanation:

log3 (1/9)

Replace 1/9 with a power of 3

1/9 = 3^-2

log3 (3^-2)

Using the power of power rule loga (b^c) = c log a(b)

-2 log3(3)

We know that loga(a) =1

-2 (1)

-2