Precalculus Examples

$\log (\log (10^{1000}))$

Step 1

Expand $\log (10^{1000})$ by moving $1000$ outside the logarithm.

$\log (1000 \log (10))$

Step 2

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

$\log (1000 \cdot 1)$

Step 3

Multiply $1000$ by $1$ .

$\log (1000)$

Step 4

Logarithm base $10$ of $1000$ is $3$ .

$3$