Answer:
[tex]\frac{log_b{13}-log_b{73}}{2}[/tex]
Step-by-step explanation:
[tex]log_b{\sqrt{\frac{13}{73}}}[/tex]
First we remove the square root
[tex]log_b({\frac{13}{73})^\frac{1}{2}}[/tex]
As per log property we can move the exponent 1/2 before log
[tex]\frac{1}{2}log_b{\frac{13}{73}}[/tex]
Now we apply log property to expand log (13/73)
log(a/b)= log(a) - log(b)
[tex]\frac{1}{2}log_b{13}-log_b{73}}[/tex]
[tex]\frac{log_b{13}-log_b{73}}{2}[/tex]
