Solve the following equation: x2^x - 2^(x+1)= 0. Please answer.?

Question

Thank you. And also can you tell me if I factored 9x^2 +15x -24 completely. I got 3(x-1)(3x+8). And for 4x^3-12x^2+8x. i got 4x(x-2)(x-1) Is this correct?

Answer 1

Observe that 2^(x+1) = (2^x)(2^1) = 2 * 2^x

x 2^x - 2 * 2^x = 0

(x - 2)2^x = 0

x - 2 = 0 or 2^x = 0

2^x cannot be zero, so the only solution is x = 2.

As to your factoring, both answers are correct. Good job!