The expression is given to be:
[tex]\log_55^{86}[/tex]
Recall the rule of logarithms:
[tex]\log a^b=b\log a[/tex]
Thus the expression becomes:
[tex]\log_55^{86}=86\log_55[/tex]
Recall the rule:
[tex]\log_aa=1[/tex]
Hence, we have the expression to be:
[tex]86\log_55=86[/tex]
The answer is 86.
