Questions: Use the properties of logarithms to evaluate the expression. log 10^3 (Simplify your answer.)

Use the properties of logarithms to evaluate the expression. log 10^3 (Simplify your answer.)
Transcript text: Use the properties of logarithms to evaluate the expression. \[ \log 10^{3} \] (Simplify your answer.)
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Solution

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Solution Steps

Step 1: Evaluate the Logarithm

We start with the expression \( \log 10^{3} \). According to the properties of logarithms, specifically the identity \( \log_b(b^x) = x \), we can simplify this expression directly.

Step 2: Apply the Identity

In our case, the base \( b \) is \( 10 \) and the exponent \( x \) is \( 3 \). Therefore, we can write: \[ \log 10^{3} = 3 \]

Final Answer

Thus, the simplified value of the expression is \[ \boxed{3} \]

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