Question

Evaluate log ^3 square root 100

Answer 1

To evaluate \( \log^3 \sqrt{100} \), let's break this down step by step.

1. **Calculate \( \sqrt{100} \)**:
\[
\sqrt{100} = 10
\]

2. **Now, calculate \( \log(10) \)**:
Assuming we are using base 10 logarithm (common logarithm),
\[
\log_{10}(10) = 1
\]

3. **Now compute \( \log^3(10) \)**:
\[
\log^3(10) = (\log_{10}(10))^3 = 1^3 = 1
\]

Putting it all together:
\[
\log^3 \sqrt{100} = 1
\]

Thus, the final answer is:
\[
\boxed{1}
\]