Precalculus Examples

$3 \log_{3} (7) - 6 \log_{6} (2)$

Step 1

Simplify $3 \log_{3} (7)$ by moving $3$ inside the logarithm.

$\log_{3} (7^{3}) - 6 \log_{6} (2)$

Step 2

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

$\log_{3} (343) - 6 \log_{6} (2)$

Step 3

Simplify $- 6 \log_{6} (2)$ by moving $6$ inside the logarithm.

$\log_{3} (343) - \log_{6} (2^{6})$

Step 4

Raise $2$ to the power of $6$ .

$\log_{3} (343) - \log_{6} (64)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\log_{3} (343) - \log_{6} (64)$

Decimal Form:

$2.99261440 \dots$