Precalculus Examples

$\log_{81} (6561) + \log_{9} (6561) + \log_{3} (6561)$

Step 1

Simplify each term.

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Step 1.1

Logarithm base $81$ of $6561$ is $2$ .

$2 + \log_{9} (6561) + \log_{3} (6561)$

Step 1.2

Logarithm base $9$ of $6561$ is $4$ .

$2 + 4 + \log_{3} (6561)$

Step 1.3

Logarithm base $3$ of $6561$ is $8$ .

$2 + 4 + 8$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $2$ and $4$ .

$6 + 8$

Step 2.2

Add $6$ and $8$ .

$14$