Question

2^x-1 * 2^x+1 = 32. find x

Answer 1

Answer:

$\boxed{x=\frac{5}{2}}$

Step-by-step explanation:

$2^{x-1} \times 2^{x+1} = 32 \\ 2^{x-1+x+1} =2^5 \\\\ bases \ are \ equal \ exponents \ must \ be \ equal. \\\\ x-1+x+1=5\\\\2x=5 \\\\ x=5/2 \\\\ x=2.5$

Answer 2

Answer:

5/2

Step-by-step explanation:

32=2⁵

2^x-1×2^x+1=2^(x+1)+(x-1)

=2^2x

x=5/2