Using differentials, find the approximate value of `log_(10)10.1` when `log_(10)e=0.4343`.

Explanation

To find the approximate value of \( \log_{10}(10.1) \) using differentials, we can follow these steps:

### Step 1: Define the function
Let \( y = \log_{10}(x) \). We want to find \( \log_{10}(10.1) \).

### Step 2: Identify the point of approximation
We will choose \( x = 10 \) because \( 10.1 \) is close to \( 10 \).

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