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Explain the steps you would use to solve the equation. Find the solution.

8^2x=4096

Answer:x=64=0

Explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

8^2*x - (4096) = 0

Step by step solution:

Step 1:

1.1 8 = 23

(8) 2 = (23) 2 = 26

Equation at the end of step 1:

(26 • x) - 4096 = 0

Step 2:

Step 3:

Pulling out like terms:

3.1 Pull out like factors:

64x - 4096 = 64 • (x - 64)

Equation at the end of step 3:

64 • (x - 64) = 0

Step 4:

Equations which are never true:

4.1 Solve : 64 = 0