Precalculus Examples

$\log (\log (10^{100000}))$

Step 1

Expand $\log (10^{100000})$ by moving $100000$ outside the logarithm.

$\log (100000 \log (10))$

Step 2

Logarithm base $10$ of $10$ is $1$ .

$\log (100000 \cdot 1)$

Step 3

Multiply $100000$ by $1$ .

$\log (100000)$

Step 4

Logarithm base $10$ of $100000$ is $5$ .

$5$