Question

Given that 32✓2=2^a , find the value of a​

Answer 1

• a = 5.5

Explanation:

• 
  `32√(2) = 2^a`
• 
  `2^52^(1/2) = 2^a`
• 
  `2^(5+1/2)=2^a`
• a = 5.5

Answer 2

Explanation:

All you need is something that when you divide the right side (the way I've written it) by 2, you get 32 sqrt(2). So a must also have sqrt(2) in it. In addition, it must also have 16 as well so that when you multiply by 2, you get 32.

2a = 32*sqrt(2) Divide by 2

a = 16*sqrt(2)