simplification

Question

Simplify the following: [(3.2^x+1) - (4.2^x-1)] / (2^x-3) [(3.2 to the power x+1) - 4.2 to the power x-1)] / (2 to the power x-3)

Answer 1

The expression is [3 • 2x + 1 - 4 • 2x - 1] / (2x - 3).

= (3 • 2x + 1) / (2x - 3) - (4 • 2x - 1) / (2x - 3)

= 3 • 2x + 1 - (x - 3) - 4 • 2x - 1 - (x - 3)

= 3 • 2x + 1 - x + 3) - 4 • 2x - 1 - x + 3)

= 3 • 24 - 4 • 22

= 3 • 16 - 4 • 4

= 48 - 16

= 32.

The solution is 32.