Trigonometry Examples

$\log (64000000)$

Step 1

Rewrite $\log (64000000)$ as $\log (2^{12} \cdot 5^{6})$ .

$\log (2^{12} \cdot 5^{6})$

Step 2

Rewrite $\log (2^{12} \cdot 5^{6})$ as $\log (2^{12}) + \log (5^{6})$ .

$\log (2^{12}) + \log (5^{6})$

Step 3

Simplify each term.

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Step 3.1

Expand $\log (2^{12})$ by moving $12$ outside the logarithm.

$12 \log (2) + \log (5^{6})$

Step 3.2

Expand $\log (5^{6})$ by moving $6$ outside the logarithm.

$12 \log (2) + 6 \log (5)$