Given:
The given expression is [tex]log_2{18}=x-1[/tex]
We need to determine the equivalent expression.
Equivalent expression:
The equivalent expression of the given expression can be determined using the property.
If [tex]log_b {x}=y[/tex] then it is equivalent to [tex]x=b^y[/tex]
The given expression is of the form [tex]log_b {x}=y[/tex], where [tex]b=2, x = 18[/tex] and [tex]y=x-1[/tex]
Thus using the above property, the given expression can be written as,
[tex]18=2^{x-1}[/tex]
Thus, the equivalent expression is [tex]18=2^{x-1}[/tex]
Hence, Option d is the correct answer.
