Answer: 3x log 6 = log 18
Step-by-step explanation:
Here, the given equation is,
[tex]6^{3x} = 18[/tex]
Which is an exponential equation,
Generally, for solving an exponential expression, we take log for eliminating variable from the power.
Also, When we take any change in both sides of an expression then the new expression is equivalent to the expression.
By taking log on both side in the above,
[tex]log(6)^{3x}=log 18[/tex]
[tex]\implies 3x log (6) = log (18)[/tex] ( since, [tex]loga^b=bloga[/tex] )
Which is the required equivalent expression.
⇒ Fourth option is correct.
