Question

how do you think you can represent the number 2300 as a number times a multiple of 10? How do you think you can represent the number 2300 as a number x 10 to some exponents? How could you describe the relationship between the two representations?

Answer 1

Answer

23 × 10 = 2300

2.17¹⁰ = 2300

Explanation

The first parts us to represent 2300 as a number (let that number be x) multiplied by 10

x × 10 = 2300

10x = 2300

Divide both sides by 10

(10x/10) = (2300/10)

x = 230

The second part asks us to represent 2300 as a number (let that number be y) raised to power 10

y¹⁰ = 2300

To solve for y, we will take the logartihms of both sides

Log (y¹⁰) = Log 2300

10 log y = log 2300

Divide both sides by 10

(10 log y)/10 = (log 2300)/10

Log y = (3.362/10)

Log y = 0.3362

We will now take the Antilog of both sides

y = 2.17

Hope this Helps!!!