Answer:
[tex]x = \dfrac{1}{81}[/tex]
Step-by-step explanation:
given,
log₃ x = - 4
using logarithmic identity
logₐ x = b
x = aᵇ
converting into exponential form as the base is 3
x = 3⁻⁴
[tex]x = \dfrac{1}{3^4}[/tex]
[tex]x = \dfrac{1}{81}[/tex]
hence the required solution of X is [tex]x = \dfrac{1}{81}[/tex]
