Answer:
Option 2nd is correct
[tex]\log_4 x = 5[/tex]
Step-by-step explanation:
Using logarithmic rules:
[tex]\log_b b^x = x[/tex]
Given that:
[tex]4^5 = x[/tex]
Taking log with base 4 to both side we have;
[tex]\log_4 4^5 = \log_4 x[/tex]
Apply the logarithmic rules we have;
[tex]5 = \log_4 x[/tex]
or
[tex]\log_4 x = 5[/tex]
Therefore, [tex]4^5 = x[/tex] as a logarithmic equation is: [tex]\log_4 x = 5[/tex]
