Question

4 raised by p = 1024
Find the value of p

Answer 1

`\large\bf{\underline{\underline{\mathfrak{Question}:}}}`

`\small\rm{(4)^(p)=1024}`

Find the value of p.

`\large\bf{\underline{\underline{\mathfrak{Solution}:}}}`

We have given that,

`\rm{(4)^p=1024}`

We know that 1024 can be expressed as,

`\rm{1024 = 4*4*4*4*4}`

That means,

`\rm{1024 = 4^5}`

`\rm{1024 = 1024}`

`\rm{L.H.S = R.H.S}`

`{\therefore{\rm{p = 5}}}`

Answer 2

p = 5

=================

Given equation:

• 
  `4^p=1024`

We know that 1024 = 4*4*4*4*4 = 4⁵, hence we can rewrite it as:

• 
  `4^p=4^5`
• 
  `p=5`