Precalculus Examples

$- \frac{\ln (1029)}{7 \ln (3) - 7 \ln (1)}$

Step 1

Simplify $7 \ln (3)$ by moving $7$ inside the logarithm.

$- \frac{\ln (1029)}{\ln (3^{7}) - 7 \ln (1)}$

Step 2

Raise $3$ to the power of $7$ .

$- \frac{\ln (1029)}{\ln (2187) - 7 \ln (1)}$

Step 3

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

$- \frac{\ln (1029)}{\ln (2187) - 7 \cdot 0}$

Step 4

Multiply $- 7$ by $0$ .

$- \frac{\ln (1029)}{\ln (2187) + 0}$

Step 5

Add $\ln (2187)$ and $0$ .

$- \frac{\ln (1029)}{\ln (2187)}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{\ln (1029)}{\ln (2187)}$

Decimal Form:

$- 0.90196160 \dots$