Questions: log2 m + log2 h =

Transcript text: \[ \log _{2} \mathrm{~m}+\log _{2} \mathrm{~h} \] \[ \log _{2} \mathrm{~m}+\log _{2} \mathrm{~h}= \] $\square$

Solution

Solution Steps

Step 1: Understand the Problem

The problem asks to simplify the expression $\log_{2} m + \log_{2} h$.

Step 2: Apply Logarithm Properties

Recall the logarithm property that states: \[ \log_{a} b + \log_{a} c = \log_{a} (b \cdot c) \] This property allows us to combine the two logarithms into a single logarithm.

Step 3: Simplify the Expression

Using the property mentioned above, we can rewrite the expression as: \[ \log_{2} m + \log_{2} h = \log_{2} (m \cdot h) \]

Final Answer

\[ \boxed{\log_{2} (m \cdot h)} \]

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