Question

If 2ˣ⁻¹ = 1/8 Then find the value of x​

Answer 1

Step-by-step explanation:

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Answer 2

GIVEN :-

• 2ˣ ⁻ ¹ = 1/8.

TO FIND :-

• The value of the x.

SOLUTION :-

⇒ 2ˣ ⁻ ¹ = 1/8.

Here , To find the value of x , firstly we need a equal base in R.H.S .

Therefore , 1/8 can be written as 2⁻³.

⇒ 2ˣ ⁻ ¹ = 2⁻³.

Now , by using the exponential identity :- aⁿ = aˣ = n = x.

⇒ x - 1 = -3

⇒ x = -3 + 1

⇒ x = -2

Hence required value of x is -2.

_____________…

⇒ aⁿ = aˣ = n = x.

⇒ a⁻ⁿ = 1/aⁿ.

⇒ aⁿ ÷ aˣ = aⁿ ⁻ ˣ.