Find the value of 7 ` log(16/15) + 5 log (25/24) + 3 log (81/80)`.

Explanation

To solve the expression \( 7 \log\left(\frac{16}{15}\right) + 5 \log\left(\frac{25}{24}\right) + 3 \log\left(\frac{81}{80}\right) \), we can follow these steps:

### Step 1: Apply the Power Rule of Logarithms
We can use the property of logarithms which states that \( k \log(m) = \log(m^k) \). Applying this to each term, we get:

\[ 7 \log\left(\frac{16}{15}\right) = \log\left(\left(\frac{16}{15}\right)^7\right) \]
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