How do i write this in logarithmic form? one ninth equals 3 Superscript negative 2

1/9=3^-2

1 Answer
Apr 5, 2018

log_3 (1/9)= -2

Explanation:

In exponential form

2^4 = 16

In logarithmic form

log_2 16 = 4

If one ninth

1/9 = 3^-2

it means

1/9 = 1/9

because

3^-2 = 1/3^2 = 1/9

In Exponential Form

1/9 = 3^-2

it is also equal to

3^-2 = 1/9

to write in Logarithmic Form, 3 will be the base and -2 is the value written as

log_3 (1/9) = -2