Question

Arrange the steps in the correct order to solve the equation 3 (2^2t-5 )- 4=10

Answer 1

The equation to be solved is: 3 [ 2 ^ (2t - 5) ] - 4 = 10

The steps are:

1) transpose - 4=> 3 [ 2^ (2t - 5) ] = 10 + 4

2) Combine like terms => 3 [2^ (2t - 5) ] = 14

3) Divide both terms by 3 => 2^ (2t - 5) = 14 / 3

4) Take logarithms of both sides => (2t - 5) log (2) = log (14/3)

5) Divide both sides by log (2) =>

                log (14/3)
2t - 5 = -------------------
                 log (2)

6) transpose - 5+>

                log (14/3)
2t  = ------------------- + 5 = 2.22 + 5
                 log (2)

2t = 7.22

7) divide both sides by 2 => t = 7.22 / 2 = 3.61

Answer 2

Answer:

1. Add 4 to each side of the equation:

2. Divide both sides of the equation by 3:

3.Take the log of each side:

4.Use the Exponential Property and write in decimal form:

5.Divide each side by log 2:

6.Find the value of  and substitute:

7. Add 5 to each side of the equation:

8. Simplify:

Step-by-step explanation: