Precalculus Examples

$\frac{\frac{\ln (1)}{6}}{7 \ln (4)}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{\ln (1)}{6} \cdot \frac{1}{7 \ln (4)}$

Step 2

Rewrite $\frac{\ln (1)}{6}$ as $\frac{1}{6} \ln (1)$ .

$\frac{1}{6} \ln (1) \frac{1}{7 \ln (4)}$

Step 3

Simplify $\frac{1}{6} \ln (1)$ by moving $\frac{1}{6}$ inside the logarithm.

$\ln (1^{\frac{1}{6}}) \frac{1}{7 \ln (4)}$

Step 4

One to any power is one.

$\ln (1) \frac{1}{7 \ln (4)}$

Step 5

The natural logarithm of $1$ is $0$ .

$0 \frac{1}{7 \ln (4)}$

Step 6

Simplify $7 \ln (4)$ by moving $7$ inside the logarithm.

$0 \frac{1}{\ln (4^{7})}$

Step 7

Raise $4$ to the power of $7$ .

$0 \frac{1}{\ln (16384)}$

Step 8

Multiply $0$ by $\frac{1}{\ln (16384)}$ .

$0$