Solve for the following equation step by step and justify your steps when using an exponential property. (7^x)^4=7^2-7^3/7^3x

The equation is (7^x)^4 = (7^2 × 7^3)/ 7^3x

(7^x)^4 is equal to 7^(4x)

7^2 × 7^3 is equal to 7^(2+3) which gives 7^5

therefore;

7^5/7^3x is equal to 7^(5-3x)

Hence we get;

  7^(4x)=7^(5-3x)

thus;  4x = 5-3x

          7x = 5 (solving for x)

Therefore; x = 5/7

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.