Question

Use the equation y=3(1/2)^x to determine the value of y if x = -2

Answer 1

Given :-

• A Equation ,
  `\sf y = 3(1/2)^x`

To find :-

• The value of y at x = -2.

Solution :-

The given equation is ,

`\red{\longrightarrow}\sf y = 3(1/2)^x`

Now on substituting x = -2 , we have,

`\red{\longrightarrow} y = 3(1/2)^(-2)`

Using the property of exponents as ,

`\red{\longrightarrow} \sf a^(-m)= 1/a^m`

We have ,

`\red{\longrightarrow}\sf y = 3(2)^2`

`\red{\longrightarrow}\sf y = 3(4)`

`\red{\longrightarrow}\bf y = 12`

Hence the required answer is 12.