Question

Please show the steps as well.​

Answer 1

Answer:

• x = 4

Step-by-step explanation:

Rewrite the equation as

• $2^{x -1}=8$
• $2^{x -1}=2^3$

Powers are equal if bases are same

• $x -1=3$
• $x=3+1$
• $x=4$

Answer 2

~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!