Trigonometry Examples

ln (x) + ln (7 x)

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

Step 1

Use the product property of logarithms,

{log}_{b} (x) + {log}_{b} (y) = {log}_{b} (x y)

$\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

ln (x (7 x))

$\ln (x (7 x))$

Step 2

Rewrite using the commutative property of multiplication.

ln (7 x \cdot x)

$\ln (7 x \cdot x)$

Step 3

Multiply

x

$x$ by

x

$x$ by adding the exponents.

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Step 3.1

Move

x

$x$ .

ln (7 (x \cdot x))

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

Step 3.2

Multiply

x

$x$ by

x

$x$ .

ln (7 x^{2})

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

ln (7 x^{2})

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

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