Question

What is the solution to the exponential equation 1/64= 2^x+1

Answer 1

Answer:

x = - 7

Step-by-step explanation:

We have to get the solution to the exponential equation $\frac{1}{64} = 2^{(x + 1)}$.

Now, $\frac{1}{64} = 2^{(x + 1)}$

⇒ $\frac{1}{2^{6}} = 2^{(x + 1)}$

⇒ $2^{- 6} = 2^{(x + 1)}$  

{Since we know the properties of exponent as $a^{- b} = \frac{1}{a^{b} }$ }

⇒ - 6 = (x + 1)

{Since the base are same i.e. 2 so, we can equate the power terms of both sides}

⇒ x = - 6 - 1 = - 7 (Answer)