. log2 x + log2(2) = 4

x=?

The answer to your question is x = 8

Step-by-step explanation:

Data

                 log₂x + log₂2 = 4

Process

Use the law of logarithms

1.- Use the law of the product

                log₂(2x) = 4

2.- Convert log to the exponential equation, the base will be to the power of 4.

                2x = 2⁴

3.- Simplify

               2x = 16

4.- Solve for x

                 x = 16/2

5.- Result

                x = 8

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

x-150=475   x=625

step-by-step explanation:

if the bike after the sale ($150) is $475 then just simply add 150 to 475.