The expression \( \frac{1}{5} \log 4 \) can be simplified by using logarithmic properties. Here's the step-by-step breakdown:

### Step 1: Use the power rule of logarithms
The power rule states that:

\[
a \log b = \log b^a
\]

Applying this to your expression:

\[
\frac{1}{5} \log 4 = \log 4^{\frac{1}{5}}
\]

### Step 2: Simplify the exponent
Simplify the expression \( 4^{\frac{1}{5}} \):

\[
4^{\frac{1}{5}} = (2^2)^{\frac{1}{5}} = 2^{\frac{2}{5}}
\]

So, the expression becomes:

\[
\frac{1}{5} \log 4 = \log 2^{\frac{2}{5}}
\]



This problem breaks down the expression 1/5 log 4 using the power rule of logarithms. Learn how to simplify the logarithmic expression by converting exponents and using properties of powers. Suitable for Grades 9-10 students.

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