Question

If log(base 3) x = -2 , then x is equal to​

Answer 1

Answer:

x = 1/9

Step-by-step explanation:

given: log(base 3) x = -2

log(base 3) x = -2 * log(base 3) 3

(because, log(base x) x =1)

now, log(base 3) x = log(base 3) 3^-2

(because, a log x = log x^a)

by comparison on both sides, we get

x = 3^-2 or

x = 1/3² or

x = 1/9. Ans.