Precalculus Examples

$\log_{729} (729) + \log_{27} (729) + \log_{3} (729)$

Step 1

Simplify each term.

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Step 1.1

Logarithm base $729$ of $729$ is $1$ .

$1 + \log_{27} (729) + \log_{3} (729)$

Step 1.2

Logarithm base $27$ of $729$ is $2$ .

$1 + 2 + \log_{3} (729)$

Step 1.3

Logarithm base $3$ of $729$ is $6$ .

$1 + 2 + 6$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $1$ and $2$ .

$3 + 6$

Step 2.2

Add $3$ and $6$ .

$9$