Question

An equation is shown below: 1 over 2 multiplied by x plus 3 over 2 equals 2 to the power of x What is the solution to the equation? x = 1 x = 2 x = 4 x = 8

Answer 1

Answer:

x = 1

Step-by-step explanation:

1/2 x 1 = 1/2

1/2 + 3/2 = 4/2 = 2

2 to the power of 1 is 2

Answer 2

Answer:

First option is correct. The solution of the equation is x=1.

Step-by-step explanation:

The given equation is

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

The value of x, which satisfy the above equation is the solution of the given equation.

Put x=1 in the given equation.

$\frac{1}{2}(1)+\frac{3}{2}=2^{1}$

$\frac{1+3}{2}=2$

$\frac{4}{2}=2$

$2=2$

Since left hand side is equal to right side, therefore first option is correct.

Put x=2 in the given equation.

$\frac{1}{2}(2)+\frac{3}{2}=2^{2}$

$\frac{2+3}{2}=4$

$\frac{5}{2}=4$

Since left hand side is not equal to right side, therefore second option is correct.

Put x=4 in the given equation.

$\frac{1}{2}(4)+\frac{3}{2}=2^{4}$

$\frac{4+3}{2}=16$

$\frac{7}{2}=16$

Since left hand side is not equal to right side, therefore third option is correct.

Put x=8 in the given equation.

$\frac{1}{2}(8)+\frac{3}{2}=2^{8}$

$\frac{8+3}{2}=256$

$\frac{11}{2}=256$

Since left hand side is not equal to right side, therefore fourth option is correct.