Trigonometry Examples

$a (n) = (\ln (3^{n}))$

Step 1

Divide each term in $a n = \ln (3^{n})$ by $n$ .

$\frac{a n}{n} = \frac{\ln (3^{n})}{n}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $n$ .

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Step 2.1.1

Cancel the common factor.

$\frac{a n}{n} = \frac{\ln (3^{n})}{n}$

Step 2.1.2

Divide $a$ by $1$ .

$a = \frac{\ln (3^{n})}{n}$

$a = \frac{\ln (3^{n})}{n}$

$a = \frac{\ln (3^{n})}{n}$

Step 3

Simplify the right side.

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Step 3.1

Expand $\ln (3^{n})$ by moving $n$ outside the logarithm.

$a = \frac{n \ln (3)}{n}$

Step 3.2

Cancel the common factor of $n$ .

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Step 3.2.1

Cancel the common factor.

$a = \frac{n \ln (3)}{n}$

Step 3.2.2

Divide $\ln (3)$ by $1$ .

$a = \ln (3)$

$a = \ln (3)$

$a = \ln (3)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a = \ln (3)$

Decimal Form:

$a = 1.09861228 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$