Question

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

Answer 1

Answer:

$x = \dfrac{1}{81}$

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                        

$x = \dfrac{1}{3^4}$                  

$x = \dfrac{1}{81}$                      

hence the required solution of X is $x = \dfrac{1}{81}$