Precalculus Examples

$\log (10 \cdot 10^{6})$

Step 1

Move the decimal point in $10$ to the left by $1$ place and increase the power of $10^{6}$ by $1$ .

$\log (1 \cdot 10^{7})$

Step 2

Multiply $10^{7}$ by $1$ .

$\log (10^{7})$

Step 3

Use logarithm rules to move $7$ out of the exponent.

$7 \log (10)$

Step 4

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

$7 \cdot 1$

Step 5

Multiply $7$ by $1$ .

$7$