Precalculus Examples

$\frac{\ln (1234)}{- 3}$

Step 1

Rewrite $\frac{\ln (1234)}{- 3}$ as $\frac{1}{- 3} \ln (1234)$ .

$\frac{1}{- 3} \ln (1234)$

Step 2

Simplify $\frac{1}{- 3} \ln (1234)$ by moving $- \frac{1}{- 3}$ inside the logarithm.

$- \ln (1234^{- \frac{1}{- 3}})$

Step 3

Move the negative in front of the fraction.

$- \ln (1234^{- - \frac{1}{3}})$

Step 4

Multiply $- - \frac{1}{3}$ .

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Step 4.1

Multiply $- 1$ by $- 1$ .

$- \ln (1234^{1 (\frac{1}{3})})$

Step 4.2

Multiply $\frac{1}{3}$ by $1$ .

$- \ln (1234^{\frac{1}{3}})$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \ln (1234^{\frac{1}{3}})$

Decimal Form:

$- 2.37267206 \dots$