Use the Laws of Logarithms to expand the expression.
$\log (\sqrt{t^{5}})$

Answer

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Answer

The expanded form of the given expression is $\frac{5}{2} \cdot \log (t)$

Steps

Step 1 ：Rewrite the square root as a power of 1/2: $\log (t^{5 / 2})$

Step 2 ：Use the power rule of logarithms to simplify the expression: $\frac{5}{2} \cdot \log (t)$

Step 3 ：The expanded form of the given expression is $\frac{5}{2} \cdot \log (t)$