A number is less than 20 units away from 7 on the number line.

-13 < x < 27

Therefore, the number is greater than -13 and less than 27.

Step-by-step explanation:

1. Set up the inequility

|x - 7| < 20

2. Set up compound inequility

-20 < x - 7 < 20

3. Solve compound inequility

-20 + 7 < x < 20 + 7

-13 < x < 27

Therefore, the number is greater than -13 and less than 27.

2425

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: