Precalculus Examples

$\log_{3} (27) + \log_{5} (125) - 2 \log_{9} (81)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Logarithm base $3$ of $27$ is $3$ .

$3 + \log_{5} (125) - 2 \log_{9} (81)$

Step 1.2

Logarithm base $5$ of $125$ is $3$ .

$3 + 3 - 2 \log_{9} (81)$

Step 1.3

Logarithm base $9$ of $81$ is $2$ .

$3 + 3 - 2 \cdot 2$

Step 1.4

Multiply $- 2$ by $2$ .

$3 + 3 - 4$

Step 2

Simplify by adding and subtracting.

Tap for more steps...

Step 2.1

Add $3$ and $3$ .

$6 - 4$

Step 2.2

Subtract $4$ from $6$ .

$2$