Question

Please show the steps as well.​

Answer 1

~Hello! I will try to help you!

`\Rightarrow \sf {2}^(x - 1) = 8`

»Convert the number 8 to a power of 2, then:-

`\Rightarrow \sf {2}^(x - 1) = {2}^(3)`

»Because the bases on the right and left are the same, we will cross out the bases to produce a linear equation.

`\Rightarrow \sf \cancel2 {}^(x - 1) = { \cancel2}^(3)`

»Let's find the value of x in the above equation!

`\Rightarrow \sf x - 1 = 3 \\ \Rightarrow \sf x = 3 + 1 \\ \Rightarrow \bf x = 4`

With this it's done!

Answer 2

• x = 4

Explanation:

Rewrite the equation as

• 
  `2^(x -1)=8\\`
• 
  `2^(x -1)=2^3`

Powers are equal if bases are same

• 
  `x -1=3`
• 
  `x=3+1`
• 
  `x=4`