Problem

$\log _{7} 9+\log _{7} 4$

Solution

Step 1 :Use the logarithm property: \(\log_{a} b + \log_{a} c = \log_{a} (b \cdot c)\)

Step 2 :Apply the property to the given expression: \(\log_{7} 9 + \log_{7} 4 = \log_{7} (9 \cdot 4)\)

Step 3 :Calculate the product: \(\log_{7} (9 \cdot 4) = \log_{7} 36\)

Step 4 :Write the final answer: \(\boxed{\log_{7} 36}\)

From Solvely APP
Source: https://solvelyapp.com/problems/8357/

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