Precalculus Examples

$\ln (e) + \log (10) + \log (1) + \ln (1)$

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\ln (e \cdot 1) + \log (10) + \log (1)$

Step 2

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\ln (e \cdot 1) + \log (10 \cdot 1)$

Step 3

Simplify each term.

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Step 3.1

Multiply $e$ by $1$ .

$\ln (e) + \log (10 \cdot 1)$

Step 3.2

The natural logarithm of $e$ is $1$ .

$1 + \log (10 \cdot 1)$

Step 3.3

Multiply $10$ by $1$ .

$1 + \log (10)$

Step 3.4

Logarithm base $10$ of $10$ is $1$ .

$1 + 1$

Step 4

Add $1$ and $1$ .

$2$