Answer
$\frac{5}{2}$$\log t$
Work Step by Step
$Expand$ $the$ $expression$:
$\log \sqrt{t^5}$
Rewrite the square root
$\log (t^5)^{\frac{1}{2}}$
Multiply the exponents together
$\log t^{\frac{5}{2}}$ [$\frac{5}{1}$ $\times$ $\frac{1}{2}$ = $\frac{5}{2}$]
Apply the Third Law of Logarithms
$\log t^{\frac{5}{2}}$ = $\frac{5}{2}$$\log t$
