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

Question

1/9=3^-2

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Answer 1 · 2018-04-05T16:38:43

#log_3 (1/9)= -2#

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#