Question

Which equation can be used to find the solution of (12)2x=32 ?

12x=5

2x = 5

−12x=5

−2x=5

Answer 1

D

Step-by-step explanation:

I took the test.

Answer 2

Answer: The correct option is D, i.e., -2x=5.

Step-by-step explanation:

The given equation is,

`((1)/(2) )^(2x)=32`

`((1)/(2) )^(2x)=2^5`

Using the exponent rule
`((1)/(a)) ^b=a^(-b)`, the above equation can be written as,

`2^(-2x)=2^5`

On comparing both sides we get the base is same so power must be equal.

`-2x=5`

Therefore the required equation is -2x=5 and option D is correct.