Evaluate log of 10^(1/2)

$\log (10^{\frac{1}{2}})$

Step 1

Use logarithm rules to move $\frac{1}{2}$ out of the exponent.

$\frac{1}{2} \log (10)$

Step 2

Logarithm base $10$ of $10$ is $1$ .

$\frac{1}{2} \cdot 1$

Step 3

Multiply $\frac{1}{2}$ by $1$ .

$\frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$