Question

Solve the following equations.
log3(x) = −4

Answer 1

`x = (1)/(81)`

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

`x = (1)/(3^4)`

`x = (1)/(81)`

hence the required solution of X is
`x = (1)/(81)`