Question

find the value of x for the given equation 2 ki power x + 2 ki power x+1 =24

Answer 1

Answer:

x=3

Step-by-step explanation:

${2}^{x} + {2}^{x + 1} = 24$

${2}^{x} + ( {2}^{x} \times {2}^{1} ) = 24$

${2}^{x} (1 + 2) = 24$

${2}^{x} \times 3 = 24$

${2}^{x} = \frac{24}{3}$

${2}^{x} = 8$

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

x=3

Hope It Helps :)