Question

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

Answer 1

(12)2x=32
2x= 32/12
2x=8/3

I apologize I'm not sure where they get the 5. So I'm very interested in this answer as well.

Answer 2

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

Explanation:

The given equation is,

$(\frac{1}{2} )^{2x}=32$

$(\frac{1}{2} )^{2x}=2^5$

Using the exponent rule $(\frac{1}{a}) ^b=a^{-b}$, 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.