Calculus Examples

$lim_{x \to 8} \log (\frac{x}{5})$

Step 1

Evaluate the limit.

Tap for more steps...

Step 1.1

Move the limit inside the logarithm.

$\log (lim_{x \to 8} \frac{x}{5})$

Step 1.2

Move the term $\frac{1}{5}$ outside of the limit because it is constant with respect to $x$ .

$\log (\frac{1}{5} lim_{x \to 8} x)$

Step 2

Evaluate the limit of $x$ by plugging in $8$ for $x$ .

$\log (\frac{1}{5} \cdot 8)$

Step 3

Combine $\frac{1}{5}$ and $8$ .

$\log (\frac{8}{5})$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log (\frac{8}{5})$

Decimal Form:

$0.20411998 \dots$