Precalculus Examples

$\log_{2187} (27^{k})$

Step 1

Expand $\log_{2187} (27^{k})$ by moving $k$ outside the logarithm.

$k \log_{2187} (27)$

Step 2

Logarithm base $2187$ of $27$ is $\frac{3}{7}$ .

$k \frac{3}{7}$

Step 3

Combine $k$ and $\frac{3}{7}$ .

$\frac{k \cdot 3}{7}$

Step 4

Move $3$ to the left of $k$ .

$\frac{3 k}{7}$