Question

2 to the power x is equal to 3 to the power minus x

Answer 1

Step-by-step explanation:

x²=x³-x

x×x=x×x×x-x

2x=3x-x

2x=2x

Answer 2

Answer:

${2}^{x} = {3}^{ - x}$

${2}^{x} = \frac{1}{ {3}^{x} }$

${2}^{x} \times {3}^{x} = 1$

${(2 \times 3)}^{x} = 1$

${6}^{x} = 1$

both side multiplying by 6

$6 \times {6}^{x} = 6 \times 1$

${6}^{(1 + x)} = 6$

${6}^{(1 + x)} = {6}^{1}$

$1 + x = 1$

$x = 1 - 1$

$x = 0$