Question

An equation is shown below: 3 over 2 multiplied by x plus 7 over 2 equals 2 to the power of x What is the solution to the equation?
x = 1
x = 3
x = 5
x = 8

Answer 1

3x/2+7=x^2


x^2-3x/2-7=0
2x^2-3x-14=0
2x^2-7x+4x-14=0
X(2x-7)+2(2x-7)=0
(X+2)(2x-7)=0
either
X+2=0 or 2x-7=0
X=-2,7/2

Answer 2

Answer:x=3

Step-by-step explanation:

given $</p><p>\frac{3}{2}x+\frac{7}{2}= 2^{x}\\\\3x+7=2*2^{x}\\\\3x+7=2^{x+1}</p><p>$

by hit and trial method we can easily check

put the value of x=3

$</p><p>3*3+7=2^{3+1}\\\\16=2^{4}\\\\16=16</p><p>$

it is true for x=3