Calculus Examples

$\ln (x) + \ln (7 x)$

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

$\ln (x (7 x))$

Rewrite using the commutative property of multiplication.

$\ln (7 x \cdot x)$

Multiply $x$ by $x$ by adding the exponents.

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Move $x$ .

$\ln (7 (x \cdot x))$

Multiply $x$ by $x$ .

$\ln (7 x^{2})$

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