Basic Math Examples

$\ln (\frac{150 mm hg}{220 mm hg}) = - k \cdot 150$

Step 1

Multiply $150$ by $- 1$ .

$\ln (\frac{150 mm hg}{220 mm hg}) = - 150 k$

Step 2

Simplify $\ln (\frac{150 mm hg}{220 mm hg}) = - 150 k$ .

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Step 2.1

Cancel the common factor of $150$ and $220$ .

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Step 2.1.1

Factor $10$ out of $150 mm hg$ .

$\ln (\frac{10 (15 mm hg)}{220 mm hg}) = - 150 k$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $10$ out of $220 mm hg$ .

$\ln (\frac{10 (15 mm hg)}{10 (22 mm hg)}) = - 150 k$

Step 2.1.2.2

Cancel the common factor.

$\ln (\frac{10 (15 mm hg)}{10 (22 mm hg)}) = - 150 k$

Step 2.1.2.3

Rewrite the expression.

$\ln (\frac{15 mm hg}{22 mm hg}) = - 150 k$

Step 2.2

Cancel $mm$ .

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Step 2.2.1

Cancel $mm$ .

$\ln (\frac{15 mm hg}{22 mm hg}) = - 150 k$

Step 2.2.2

Rewrite the expression.

$\ln (\frac{15 hg}{22 hg}) = - 150 k$

Step 2.3

Cancel $hg$ .

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Step 2.3.1

Cancel $hg$ .

$\ln (\frac{15 hg}{22 hg}) = - 150 k$

Step 2.3.2

Rewrite the expression.

$\ln (\frac{15}{22}) = - 150 k$